Using the parent function, f(x)
, graph the new function after the transformations listed below:
a) Reflect the graph about the x-axis.
b)Vertical compress by a factor of 13 .
c) Vertical shift up 2.
d) Horizontal shift right 3.
Answers
The graphs of the transformed functions are below, the colors are:
a) g(x) = -x^2 → green.
b) g(x) = x^2/13 → blue
c) g(x) = x^2 + 2 → orange
d) g(x) = (x - 3)^2 → purple.
How to graph the transformed functions?Here we have the quadratic parent function:
f(x) = x^2
And we want to apply some transformations, and then graph them.
The transformations are:
a) "Reflect the graph about the x-axis."
This is written as:
g(x) = -f(x)
Replacing f(x) by the actual function:
g(x) = -x^2
b) "Vertical compress by a factor of 13"
This is written as:
g(x) = f(x)/13 = x^2/13
c) "Vertical shift up 2."
This is written as:
g(x) = f(x) +2 = x^2 + 2
d) "Horizontal shift right 3."
This is written as:
g(x) = f(x - 3) = (x - 3)^2
The graphs are below, the colors are:
a) g(x) = -x^2 → green.
b) g(x) = x^2/13 → blue
c) g(x) = x^2 + 2 → orange
d) g(x) = (x - 3)^2 → purple.
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Related Questions
SO
129193ni-algmiz srit of
Kings Park Bank is advertising a special 1.66% APR for CDs. Kevin takes out a one-year CD
$24,000. The interest is compounded daily. Find the APY for Kevin's account.
wh
Sissy ono to brie ed is thus torni aver verdha lliw roum woh
5.00%
Answers
APY for Kevin's account = 1.67%
The interest on a loan or deposit that is computed based on both the original principle and the accumulated interest from prior periods is known as compound interest (also known as compounding interest). Compared to simple interest, which is computed just on the principal amount, it will cause a sum to increase more quickly.
The frequency of compounding determines the pace at which compound interest accumulates. The compound interest increases with the number of compounding periods.
APY = [tex](1 + \frac{r}{n})^{n} - 1[/tex] = [tex](1 + \frac{1.667}{365})^{365} - 1[/tex] = 1.0167 - 1 = 0.0167
APY = 1.67%
Therefore, APY for Kevin's account = 1.67%
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One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Are the two triangles similar?
Answers
The height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
The length of Manny's shadow, which is 414 feet long, is 512 feet.
The tree's shadow extends 17 feet.
Here, we'll assume that the height is x.
According to the data given, the calculation is as follows:
414 : 512 = 17 : x
⇒ 414 / 512 = 17 / x
⇒ (414)x = (512)(17)
⇒ x = (512)(17)/(414)
⇒ x =21.02
⇒ x = 21 feet
Therefore, the height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.
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Your question is incomplete, probably the complete question is:
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
What do you hypothesize about rational numbers with denominators that are prime
numbers?
Answers
Answer:
There is no special hypothesis that you can come up with. You could, of course, hypothesize that they are special numbers
Step-by-step explanation:
=
Find the exact value of the expression. Do not use a calculator.
sin 26° - cos 64°
sin 26° - cos 64° =
=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Answers
The value of the expression is 0 without calculation.
We have to find the exact value of
sin 26° - cos 26°
From the trigonometric function we know that:
cos (90°-Ф) = sinФ and,
sin(90° -Ф) = cosФ
By this, we have an expression that,
=sin 26° - cos 64°
=sin 26° - cos (90° - 26)
=sin 26° - sin 26°
=0
Therefore the value of sin 26° - cos 64° =0.
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If 7cakes cost $6.30 what is the cost of 12 such cakes
Answers
Answer:
$10.8
Step-by-step explanation:
First, to determine the price of one cake divide 6.30/7
You will determine one cake costs 90 cents.
So, multiply 0.90 by 12, and you get $10.8
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
m - 4 = -7m - 8
-8 - 3m = 4 - m
-3m - 8 = 4 - m
-15m = -4m
-7m - 8 = m - 4
-8 - 7m = -4 + m
You can have multiple answers
Answers
The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4. Option E
This is further explained below.
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?Generally, the equations equivalence is mathematically given as
-2m - 5m - 8 = 3 + (-7) + m
Therefore
-7m - 8 = 3 + (-7) + m
When we write the equation such that the variable appears on the right-hand side first, we get the following:
-7m - 8 = m - 4
In conclusion, The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4.
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HELP PLS, I NEED AN ANSWER ASAP, 25 POINTS AVALIABLE
Answers
The gradient of the line y = x/3 - 4 is; 1/3
What is the gradient of the given line?
Slope is defined as the gradient of a graph at any point
We are given the equation of the line as;
y = x/3 - 4
Now, the formula for equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, from the given equation, we can tell that the gradient which is the slope is 1/3.
Thus, we conclude that the gradient of the line y = x/3 - 4 is; 1/3
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Solve the equation P = b + a + c for b.
b= ?
Answers
Answer:
b= p-(a+c)
Step-by-step explanation:
A rectangular garden is 6 ft longer than it is wide. Its area is 667 ft2. What are its dimensions?
Answers
The dimensions of the rectangular garden are 29 feet by 23 feet .
A rectangle is a quadrilateral with parallel opposite sides and equal angles. There are a lot of rectangular objects all around us. Any rectangular form's two defining characteristics are its length and width. A rectangle's longer and shorter sides are its width and length, respectively.
The area of a rectangle is given by length × width
Now the given area of the rectangle is 667 ft² .
Let the width of the rectangle is x ft. Therefore length = x + 6
Now area of the rectangle is x (x+6) = x² + 6 x
Therefore x² + 6 x = 667
or, x² + 6 x - 667 = 0
or, (x-23)(x+29) = 0
Either x = 23 or x = -29(not possible)
Hence the width is 23 feet.
Length = 23 + 6 = 29 feet
Therefore the dimensions of the rectangle are 29 feet by 23 feet .
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negative 19 plus the quantity negative 4 and five tenths plus 6 and 87 hundredths end quantity divided by 3 all times 5 squared minus 7 and 3 tenths
19.6
−18.4
31.45
−6.55
Answers
Answer: 19.6
Step-by-step explanation:
help asap question in picture
Answers
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \rm{ \bigg( - \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Determine the sign for exponential or radical expreasions}[/tex]
[tex] \: \: \rm{ \bigg( \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Calculate the power}[/tex]
[tex] \: \: \rm \boxed{ \frac{25}{9} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
Solution:Determine the sign
[tex]( -\frac{5}{3} ) {}^{2} [/tex]
[tex]( \frac{5}{3} ) {}^{2} [/tex]
[tex] \frac{5 {}^{2} }{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
if 3 equal 8 what will equal 600
Answers
Answer:
if 3 equal 8 , then 600 will be 1600.
Describe the features of a Cartesian Plane in terms of its axes, the direction of the axes and its centre.
Answers
Answer:
A Cartesian Plane is a plane in Geometry which is an flat surface of infinite size. It has two number lines that intersect at right angles at their zeros. One number line is horizontal, and the other number line is vertical. The point of intersection is the zero of each line. In the horizontal line, the numbers increase to the right. In the vertical line, the numbers increase up. The horizontal line is called the x axis. The vertical line is called the y axis. The center of the Cartesian Plane is the intersection of the two axes, the two number lines, and is called the origin. Points on the Cartesian Plane are described with two numbers in parentheses separated by a comma. The position of the point in the Cartesian Plane is given by the first number, called the x-coordinate, telling us the number of units to the right (positive) or left (negative) of the origin and by the second number, called the y-coordinate, telling us the number of units up (positive) or down (negative) from the origin.
3-11-(-6) subtract this and thank youuuuuu
Answers
Answer:
3-11-(-6)
the answer will be
-2
Carlos and Shawn are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Carlos sold 13 small boxes of oranges and 5 large boxes of oranges for a total of $133. Shawn sold 10 small boxes of oranges and 8 large boxes of oranges for a total of $148. Find the cost of each of one small box of oranges and one large box of oranges.
Answers
Answer: The cost of one small box of oranges is $6, while the cost of one large box of oranges is $11.
Step-by-step explanation:
First, set x for the cost of one small box of oranges in dollars, and y for the cost of one large box of oranges in dollars.
Hence, the equations will be:
[tex]13x+5y=133[/tex]
[tex]10x+8y=148[/tex]
Then solve for the equations using the method of elimination. In order to eliminate one of the variables, you need to make the coefficients the same. So, we can multiply the first equation by 8 and the second equation by 5. That would make the equations:
[tex]104x+40y=1064[/tex]
[tex]50x+40y=740[/tex]
Then you can eliminate the y by subtracting.
[tex]54x = 324[/tex]
Then divide by 54 on both sides.
[tex]x=6[/tex]
Now that x is solved, solve for y by substituting for x.
[tex]13(6) + 5y = 133[/tex]
[tex]5y+78=133[/tex]
[tex]5y=55[/tex]
[tex]y=11[/tex]
So, x=6 and y=11.
Algebra (4224_EOZ1)
HW Score: 88.89%, 16 of 18 points
O Points: 0 of 1
By air, the distance from city A to city B is 3003 miles less than the distance from city C to city D. If the total of these two distances is 7827 miles, find the distance from city C to city D
ework 2: 3.3 & 3.4
Brooke Conti
Question 14, 3.4.35
09/06/22 7:12
Answers
The Distance between city C and city D is 5405 miles.
Given that Distance from city a to city b is 3003 miles less than the Distance fron city c to city d, the total of these two Distance is 7807 miles and asked to find Distance between city C and city D.
Given that,
(d-c)-(b-a)=3,003 miles { (Distance between city D and city C)-(Distance between city A and city B)} Let's assume it as equation A
(d-c)+(b-a)=7,807 miles { (Distance between city D and city C)+(Distance between city A and city B)} Let's assume it as equation B
Add equation A and B
2(d-c)=10,810
(d-c)=5,405
Hence,Distance between city D and city C is 5,405
Therefore,The Distance between city C and city D is 5405 miles.
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√₂
You invested $7000 between two accounts paying 5% and 8% annual interest, respectively. If the total interest
earned for the year was $500, how much was invested at each rate?
was invested at 5% and $ was invested at 8%.
Save
>
Answers
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
Simple Interest Formula
I = Prt
where:
I = interest earned.P = principal invested.r = interest rate (in decimal form).t = time (in years).Given:
Total P = $7000P₁ = principal invested at 5%P₂ = principal invested at 8%Total interest = $500r₁ = 5% = 0.05r₂ = 8% = 0.08t = 1 yearCreate two equations from the given information:
[tex]\textsf{Equation 1}: \quad \sf P_1+P_2=7000[/tex]
[tex]\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500[/tex]
Rewrite Equation 1 to make P₁ the subject:
[tex]\implies \sf P_1=7000-P_2[/tex]
Substitute this into Equation 2 and solve for P₂:
[tex]\implies \sf 0.05(7000-P_2)+0.08P_2=500[/tex]
[tex]\implies \sf 350-0.05P_2+0.08P_2=500[/tex]
[tex]\implies \sf 0.03P_2=150[/tex]
[tex]\implies \sf P_2=\dfrac{150}{0.03}[/tex]
[tex]\implies \sf P_2=5000[/tex]
Substitute the found value of P₂ into Equation 1 and solve for P₁:
[tex]\implies \sf P_1+5000=7000[/tex]
[tex]\implies \sf P_1=7000-5000[/tex]
[tex]\implies \sf P_1 = 2000[/tex]
$2000 was invested at 5% and $5000 was invested at 8%.
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Question
Gabriel and Raj were running a lemonade stand at the local park. They decided to pay their sister to operate the stand. The
following values represent the profit y after a hours of the stand being open.
Using a calculator or statistical software, find the linear regression line for the data.
Enter your answer in the form y = mx +b, with m and b both rounded to two decimal places.
Provide your answer below:
y=x+
[
X
1
2
3
4
5
6
7
y
3.58
5.18
6.24
7.97
7.09
8.31
11.33
Answers
The linear regression equation for the data is given by:
y = 1.08x + 2.76.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (x,y) are given as follows:
(1, 3.58), (2, 5.18), (3, 6.24), (4, 7.97), (5, 7.09), (6, 8.31), (7, 11.33).
Inserting these points into a calculator, the linear regression equation for the data is given by:
y = 1.08x + 2.76.
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Determine the sum of (8x1 – x + 4) and (3x + 5)
Answers
Answer:
x = 1/9
Step-by-step explanation:
8x¹ - x +4 can be also written as 7x + 4 or 7x = -4
And 3x + 5 can be written as 3x = -5
So,
7x = -4
-(3x = -5)
4x = 1
x = 1/9
3. What is one question you can ask yourself if you find you are making an irrational
decision because of the endowment effect?
Answers
Answer:
Asking yourself how much you'd be willing to spend if someone else offered you a similar product.
If f(x) = -2x² + 4 and g(x) = 3x - 3, find f (4) + g(-6).
Answers
Answer:
(-2[tex]x^{2}[/tex]+3x+1)
Step-by-step explanation:
f(x) = -2x² + 4 g(x) = 3x - 3 find f (4) + g(-6).
f(x)+g(x)
(-2[tex]x^{2}[/tex]+4) +(3x-3)
(-2[tex]x^{2}[/tex]+3x+4-3)
(-2[tex]x^{2}[/tex]+3x+1)
A ball is thrown up on the surface of a moon. It’s height above the lunar surface (in feet) after ‘t’ seconds is given by the formula
h =592t - 16/7t^2
Find the time that the ball reaches its maximum height.
Answers
Step-by-step explanation:
we get the points with extreme values as the 0 points of the first derivative of the function.
h'(t) = 592 - 32/7 t = 0
592 = 32/7 t
4144 = 32t
t = 129.5 seconds
so, it will reach its max. height after 129.5 seconds.
The time that the ball reaches its maximum height is 129.5 seconds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The height above the lunar surface (in feet) after ‘t’ seconds is given by the formula;
⇒ h =592t - 16/7t²
Now,
We have to find the derivative of above formula and equate to zero for the maximum time as;
⇒ h =592t - 16/7t²
⇒ h' =592 - 16/7 × 2t = 0
⇒ 592 - 32/7 t = 0
⇒ 32/7 t = 592
⇒ 32t = 592 × 7
⇒ 32t = 4,144
⇒ t = 4,144/32
⇒ t = 129.5 seconds.
Thus, The time that the ball reaches its maximum height is 129.5 seconds.
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Green Sun has net working capital of $400, current assets of $2,315, and inventory of $1,100. �What is the Quick ratio?
Answers
Answer:
3:5.7
Step-by-step explanation:
please Mark me as
Answer:
its not a accurate questions
cant be answered
Step-by-step explanation:
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 82 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each item?
Answers
Answer: 300
Step-by-step explanation:
3x – y = -1 x – 2y = -12
Answers
The solution to the system of equation is (2, 7)
System of equationGiven the system of equation expressed as:
3x – y = -1 * 2
x – 2y = -12 * 1
________________
6x – 2y = -2
x – 2y = -12
Subtract to have;
6x-x = -2-(-12)
5x = 10
x = 2
Substitute x = 2 into 2 to have:
2 - 2y = -12
-2y = -14
y = 7
Hence the solution to the system of equation is (2, 7)
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DJI manufactures the Mavic Air 2 quadcopter and offered a 6/4/3 chain discount to primary customers. Drone Nerds is a primary customer and ordered 15 Mavic Air 2's for a total $26,500 list price.
Answers
Drone nerds will get 15 Mavic air 2's for $23196.192 after offering a chain discount of 6/4/3.
Chain discount is the series of discounts that are offered from the list price of an object when bought from a store.
A general example of a 10/5 chain discount denotes that there will be a series of discounts on the list price. First a discount of 10% is awarded on the list price then a further 5% on the reduced price.
The List price of the drones is $26500.
Chain discount=6/4/3
So the first discount received is 6% on the $26500.
Price after the first discount=26500- 6%of 26500
Simplifying we get
[tex]=26500-.06\times26500\\=24910[/tex]
The price after the first discount is $24910
Now we will apply the 4% discount on $24910
Price after second discount=24910-4% of 24910
=$23913.60
Now we apply the third discount
Price after third discount is=23913.60-3%of 23913.60
=$23196.192
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f(x) =2x | g(x)=-8x+2 | h(x)=x^2+x+3
Find f(g(6))
Find g(h(-4))
Find g((f)x)
With how you solved it please! (Will give first correct answer brainliest
Answers
Step-by-step explanation:
f(x) = 2x
g(x) = -8x + 2
h(x) = x² + x + 3
= f(g(6))
= 2x
= 2.(-8x + 2)
= 2.(-8.6 + 2)
= 2.(-48 + 2)
= 2.(-46)
= -92
= g(h(-4))
= -8x + 2
= -8.(x² + x + 3) + 2
= -8.((-4)² + (-4) + 3) + 2
= -8.(16 - 1) + 2
= -8.15 + 2
= -120 + 2
= -118
= g(f(x))
= -8x + 2
= -8.(2x) + 2
= -16x + 2
PLEASE HELP
5|12-r|>15
Answers
Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
Whats 1,250 - 250 x 2?
Answers
Answer:750
Step-by-step explanation:
multiply the numbers
1250-250x2
1250-500
subract the two numbers and you will get
750
1250 - 500
750
Is this or is this not a function?
Answers
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.