Quiz about Transformations on Quadratic Functions Vertex Form

Question 1

In the image, what is the value of the maximum?

Accepted Answer

$$y=8$$

Answer

$$x=-2$$

Answer

$$\left(-2,8\right)$$

Answer

There is no maximum value

Question 2

Which transformations are involved in the equation $$y=\frac{1}{2}\sqrt{x+1}-1$$ ?

Accepted Answer

Vertical shrink

Accepted Answer

Horizontal translation left

Accepted Answer

Vertical translation down

Answer

Horizontal translation right

Answer

Vertical stretch

Question 3

If $$f\left(x\right)=a\left(x-h\right)^2+k$$ has a horiz. shift of -2, a vertical shift of +3 and a vertical stretch of 4, what are the values of a, h, and k?

Accepted Answer

$$a=4;\ h=-2;\ k=3$$

Answer

$$a=2;\ h=4;\ k=-3$$

Answer

$$a=4;\ h=2;\ k=3$$

Answer

$$a=3;\ h=2;\ k=-4$$

Question 4

If $$f\left(x\right)=a\left(x-h\right)^2+k$$ has a horiz. shift of -2, a vert. shift of 3 and a vert. stretch of 4, what is the equation for $$f\left(x\right)$$ ?

Accepted Answer

$$f\left(x\right)=4\left(x+2\right)^2+3$$

Answer

$$f\left(x\right)=4\left(x-2\right)^2+3$$

Answer

$$f\left(x\right)=3\left(x+2\right)^2+4$$

Answer

$$f\left(x\right)=2\left(x-4\right)^2+3$$

Question 5

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

Accepted Answer

f(x)= 5(x - 2)²

Answer

f(x) = 5(x + 2)²

Answer

f(x) = (x - 2)² - 5

Answer

f(x) = (x + 2)² + 5

Question 6

How did we transform from the parent function y = x²to y = -1/5(x - 1)² + 7 ?

Accepted Answer

reflection, vertical compression, horizontal right, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 7

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = -f(x - 2) - 3 , what is the vertex of g(x)?

Accepted Answer

(-2, -8)

Answer

(-6, -8)

Answer

(-2, 2)

Answer

(-2, -2)

Question 8

Which function has a translation of 7 units down and reflects over the x-axis?

Accepted Answer

f(x) = -(x - 1)² - 7

Answer

f(x) = -(x - 7)² + 1

Answer

f(x) = (x + 7)² + 1

Answer

f(x) = (x + 1)² - 7

Question 9

Which of the following describes the transformations that occurred from y = x²to obtain the graph of y = 2x² + 4?

Accepted Answer

narrower by 2 and translation up 4

Answer

wider by 2 and translation up 4

Answer

narrower by 2 and translation left 4

Answer

wider by 2 and translation right 4

Question 10

How will the graph of f(x) = 3x² - 1 be affected if f(x) becomes g(x)=(x - 2)²?

Accepted Answer

The vertex of the graph will move right 2 units.

Answer

The vertex of the graph will move left 2 units.

Answer

The vertex of the graph will move up 2 units.

Answer

The vertex of the graph will move down 2 units.

Question 11

Which of the following represents the quadratic parent function of y = x² shifted right 7 units?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 12

If the blue graph is
f(x) = x²the red must be...

Accepted Answer

g(x) = (x - 3)²

Answer

g(x) = (x + 3)²

Answer

g(x) = x²+ 3

Answer

g(x) = x²- 2

Question 13

Abigail is designing a garden and wants to create a blueprint. If the blue graph represents the area of a square garden as
f(x) = x²
then the red graph must represent the area of a garden with a different feature. What is the equation for the red graph?

Accepted Answer

g(x) = x²- 5

Answer

g(x) = x²+ 5

Answer

g(x) = (x - 5)²

Answer

g(x) = (x + 5)²

Question 14

Isla is designing a garden and wants to create a path that reflects over the x-axis and is translated 7 units down. Which function represents the path's shape?

Accepted Answer

f(x) = -(x - 1)² - 7

Answer

f(x) = -(x - 7)² + 1

Answer

f(x) = (x + 7)² + 1

Answer

f(x) = (x + 1)² - 7

Question 15

Which of the following is NOT one of the transformations that take place in this Function:

Accepted Answer

Vertical compression

Answer

Left 3

Answer

Up 4

Answer

Reflect over x-axis

Answer

Vertical stretch

Question 16

If the blue graph is
f(x) = x²
then the red must be...

Accepted Answer

g(x) = x²- 5

Answer

g(x) = x²+ 5

Answer

g(x) = (x - 5)²

Answer

g(x) = (x + 5)²

Transformations on Quadratic Functions Vertex Form

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics