Quiz about Transformations of Functions Review

Question 1

Describe the transformation

-f(x)

Accepted Answer

reflect over x-axis

Answer

shift down

Answer

reflect over y-axis

Answer

shift right

Question 2

Describe the transformation

f(-x)

Accepted Answer

reflect over the y-axis

Answer

reflect over the x-axis

Answer

shift up

Answer

shift down

Question 3

Which transformation reflects over the x-axis?

Accepted Answer

-f(x)

Answer

f(-x)

Answer

f(x)

Answer

:(

Question 4

Which transformation reflects over the y-axis?

Accepted Answer

f(-x)

Answer

f(x)

Answer

-f(x)

Answer

:(

Question 5

Describe the transformation

f(x) + 4

Accepted Answer

shift up 4

Answer

shift left 4

Answer

shift right 4

Answer

shift down 4

Question 6

Describe the transformation

f(x+5)

Accepted Answer

shift left 5

Answer

shift right 5

Answer

shift up 5

Answer

shift down 5

Question 7

Describe the transformation

f(x) - 6

Accepted Answer

shift down 6

Answer

shift left 6

Answer

shift right 6

Answer

shift up 6

Question 8

Describe the transformation

f(x-7)

Accepted Answer

shift right 7

Answer

shift left 7

Answer

shift up 7

Answer

shift down 7

Question 9

Which describes a vertical stretch (skinnier)?

Accepted Answer

2f(x)

Answer

0.5f(x)

Answer

(1/2)f(x)

Answer

0.000001f(x)

Question 10

Which describes a vertical compression (wider)?

Accepted Answer

0.5f(x)

Answer

-3f(x)

Answer

45f(x)

Answer

1f(x)

Question 11

What are the transformations of f(x) = |x-3| + 4 from the parent function?

Accepted Answer

right 3

up 4

Answer

right 3

down 4

Answer

left 3up 4

Answer

down 3

right 4

Question 12

What are the transformations of $$f\left(x\right)=-\ \sqrt[]{x+4}$$ ?

Accepted Answer

left 4

reflect over x-axis

Answer

left 4

reflect over y-axis

Answer

right 4

reflect over y-axis

Answer

right 4

reflect over y-axis

Question 13

$$f\left(x\right)=x^2$$ 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 14

$$f\left(x\right)=\sqrt[3]{x}$$ and $$g\left(x\right)=\sqrt[3]{x-1}+2$$

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

Accepted Answer

right 1

up 2

Answer

down 1

down 2

Answer

left 1up 2

Answer

down 1up 2

Question 15

If the function below is f(x), what is the range of f(x)?

Accepted Answer

$$y\ge0$$

Answer

$$y>0$$

Answer

$$y<0$$

Answer

$$-\infty<y<+\infty$$

Question 16

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 17

If the function below is f(x), what is the range of f(x) - 3?

Accepted Answer

$$y\ge-3$$

Answer

$$-\infty<y<\infty$$

Answer

$$y\ge3$$

Answer

$$x\ge3$$

Question 18

The graph of f(x) is below

Which graph represents f(-x) - 1

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 19

The point (6,-4) is on the graph of f(x). What are the coordinates of the point for

f(-x)?

Accepted Answer

(-6,-4)

Answer

(6,-4)

Answer

(-4,-6)

Answer

(-6,4)

Question 20

The point (-5,10) is on the graph f(x). What are the coordinates for this point on

-f(x)?

Accepted Answer

(-5,-10)

Answer

(5,10)

Answer

(5,-10)

Answer

:(

Question 21

The graph of f(x) is shown here. What is the graph of $$\frac{1}{2}f\left(-x\right)$$ ?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 22

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.

Transformations of Functions Review

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