Quiz about Transformation of Functions

Question 1

Describe the transformation from the parent absolute value function:

$$y=\left|x\right|-5$$

Accepted Answer

Shift down 5 units

Answer

Shift up 5 units

Answer

Shift right 5 units

Answer

Shift left 5 units

Question 2

Describe the transformation from the parent square root function:

$$y=\sqrt[]{x+4}$$

Accepted Answer

Shift left 4 units

Answer

Shift up 4 units

Answer

Shift down 4 units

Answer

Shift right 4 units

Question 3

Describe the transformation from the parent cubic function:

$$y=-x^3+3$$

* Select TWO answers *

Accepted Answer

Shift up 3 units

Accepted Answer

Reflection over the x-axis

Answer

Becomes narrower

Answer

Shift right 3 units

Question 4

Describe the transformation from the parent cubic function:

$$y=\left(x+6\right)^3-4$$

* Select TWO answers *

Accepted Answer

Translation 6 units left

Accepted Answer

Translation 4 units down

Answer

Translation 6 units right

Answer

Translation 4 units up

Question 5

What shifts have occurred?

Accepted Answer

right 1, up 5

Answer

left 1, up 5

Answer

left 1, down 5

Question 6

Which of the following describes the horizontal and vertical translations of the following functions:

f(x) = |x + 4| - 9

Accepted Answer

Left 4

Down 9

Answer

Left 4up 9

Answer

Right 4

up 9

Question 7

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Accepted Answer

y = -x² + 2

Answer

y = x² + 2

Answer

y = x² - 2

Answer

y = -(x + 2)²

Question 8

Choose the equation that best matches the graphed function.

Accepted Answer

$$f(x)=-|x|+2$$

Answer

$$f(x)=|x|+2$$

Answer

$$f(x)=|x|-2$$

Answer

$$f(x)=-|x|$$

Question 9

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=\left(x+3\right)^2-12$$

Describe the transformations that map f(x) onto g(x)

Accepted Answer

left 3

down 12

Answer

up 3

left 12

Answer

right 3

down 12

Answer

left 3

up 12

Question 10

If f(x) is the graph below, which graph represents f(x) - 3?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 11

The graph of f(x) is shown here. What is the graph of $$-2f\left(x\right)$$ ?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 12

.
If the blue is f(x)=x^2,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

Question 13

What is the equation of the graph below?

Accepted Answer

f(x) = -I x I + 1

Answer

f(x) = I x I + 1

Answer

f(x) = I x I - 1

Answer

f(x) = -I x I - 1

Transformation of Functions

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