Free Printable Transformations of Functions

1.

What type of function is shown?

a)

Exponential

b)

square root

c)

quadratic

d)

cube root

2.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

3.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

4.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

5.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

6.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

7.

What is the equation of the PARENT function?

a)

f(x) = 2^x

b)

f(x) = x³

c)

f(x) = |x|

d)

f(x) = x

8.

Which parent function matches the graph?

a)

f(x) = a⋅b^x

b)

f(x) = ∛(x)

c)

f(x) = √(x)

d)

f(x) = x²

9.

Describe the transformation:

f\left(x\right)=3x^2

a)

Vertical Stretch by a Factor of 3

b)

Vertical Compression by a Factor of 3

c)

Horizontal Stretch by a Factor of $\frac{1}{3}$

d)

Horizontal Compression by a Factor $\frac{1}{3}$

10.

Describe the transformation:

g\left(x\right)=\left(x-3\right)^2

a)

Shift 3 units up

b)

Shift 3 units down

c)

Shift 3 units left

d)

Shift 3 units right

11.

Describe the transformation:

h\left(x\right)=x^2+7

a)

Shift 7 units down

b)

Shift 7 units up

c)

Shift 7 units left

d)

Shift 7 units right

12.

Describe the transformation: (click on two answers)

h\left(x\right)=\left(x-1\right)^2+5

a)

Shift 1 unit left

b)

Shift 1 unit right

c)

Shift 5 units up

d)

Shift 5 units down

13.

Describe the transformation: (click on two answers)

f\left(x\right)=-x^2-7

a)

Reflection over the x-axis

b)

Reflection over the y-axis

c)

Shift 7 units up

d)

Shift 7 units down

14.

Describe the transformation: (click on three answers)

g\left(x\right)=2\left(x-5\right)^2+1

a)

Shift 5 units right

b)

Shift 1 unit up

c)

Vertical Stretch by a Factor of 2

d)

Reflection over the y-axis

15.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

16.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

17.

Tell how the function transformed from y =|x|
y = -2|x|

a)

Translated left 2 units

b)

Reflected over x-axis

c)

Stretched vertically and reflected over x-axis

d)

Compressed vertically and reflected over the x-axis

18.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units
reflection in x-axis

b)

shifted down five units
reflection in x-axis

c)

shifted left 5 units
reflection x-axis

d)

shifted right 5 units
reflection x-axis

19.

What is the equation of the red parabola?

a)

$f\left(x\right)=-\left(x+5\right)^2$

b)

$f\left(x\right)=-\left(x-5\right)^2$

c)

$f\left(x\right)=-x^2+5$

d)

$f\left(x\right)=-x^2-5$

20.

What is the equation of the red parabola?

a)

$g\left(x\right)=\left(x-4\right)^2+6$

b)

$g\left(x\right)=\left(x+6\right)^2-4$

c)

$g\left(x\right)=\left(x-6\right)^2-4$

d)

$g\left(x\right)=\left(x-4\right)^2-6$

Transformations of Functions

Total questions: 20

Worksheet time: 17mins

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