Free Printable Function Transformations

Worksheets

Function Transformations

Total questions: 19

Worksheet time: 47mins

Name

Class

Date

Which function is graphed?

f(x) = 2|x + 2| -4

f(x) = 2|x - 4| + 2

f(x) = |x + 2| - 4

f(x) = -2|x - 4|

Which function is graphed?

f(x) = -|2x - 3| + 5

f(x) = -|x + 5| - 3

f(x) = -|2x + 6| + 5

f(x) = -2|x + 5| - 3

What is the vertex of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

What piece of information does h identify in the following equation?

y = a(x - h)²+ k

y value of the vertex

x value of the vertex

Direction (facing up or down)

x-intercept

What piece of information does k identify in the following equation?

y = a(x - h)²+ k

y value of the vertex

x value of the vertex

Direction (facing up or down)

x-intercept

What is the vertex of the function y = (x - 3)² + 5

(-3, 5)

(3, -5)

(-3, -5)

(3, 5)

Describe the translation of the function $y=2+3\ \sqrt[]{x+1}$ .

left 1 unit, down 2 units, vertical stretch by 3

left 1 unit, up 2 units, vertical stretch by 3

left 1 unit, up 2 units, vertical stretch by 1/3

right 1 unit, up 2 units

What type of function is shown?

cube root

square root

logarithm

exponential

Describe the transformation.

Down 1

Reflect over y-axis

Up 1

Reflect over x-axis

10.

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

x≥3

x≤3

All real numbers

-1≤x≤5

11.

What is the range of the function?
*Hint: Range is all of the y-values included in the function.

y≤3

y≥3

All real numbers

-6≤y≤3

12.

State the domain and range using "inequality" notation.

x ≥ -4 and y ≥ 2

x ≥ 4 and y ≥ 2

x > -4 and y > 2

D: [-4, ∞) and R: [2, ∞)

13.

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

reflected across x-axis, vertical stretch by 2, right 3, up 3

reflected across x-axis, vertical stretch by 2, left 3 up 3.

reflected across x-axis, vertical compression by 2, right 3, up 3

reflected across the x-axis, vertical compression by 2, left 3, up 3

14.

What is the domain?

all real numbers

$y\ge0$

$x\ge-2$

$x\ge0$

15.

What is the range?

$y\ge3$

$y\ge2$

$x\ge3$

all real numbers

16.

What are the zeros of the graph?

(-2, 0) and (2, 0)

-2, -4, and 2

(-3, 3) and (3, 3)

(0, -4)

17.

Simplify.

(-6 + 4i)(5 + 5i)

-1 + 9i

-30 +20i

-50 - 10i

-30 + 10i

18.

Simplify:

$\left(8-7i\right)^2$

64 - 49i

16 - 14i

15 - 112i

64 + 49i

19.

Simplify.

(-3 + 5i) - (2 + 9i)

-5 - 4i

-1 + 14i

-6 + 45i

-51 - 17i

100 %

Function Transformations

Total questions: 19

Worksheet time: 47mins

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