Free Printable Graphing Using Parent Functions

1.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

2.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = x²

c)

f(x) =√(x)

d)

f(x) =∛(x)

3.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

4.

What is the equation of the graph below? You can click the picture to zoom in!

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

5.

Identify the Parent Function

a)

Quadratic

b)

Cubic

c)

Absolute Value

d)

Signum

6.

Write the equation of the graph.

a)

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

b)

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

c)

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

d)

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

7.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

8.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

9.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

10.

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

11.

Write the equation of the graph.

a)

f(x)= $\sqrt[]{-x-4}+2$

b)

f(x)= $-\sqrt[]{x-4}+2$

c)

f(x)= $\sqrt[]{-x+4}+2$

d)

f(x)= $-\sqrt[]{x-2}+4$

12.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

13.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

14.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

15.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

16.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected Horizontally.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

17.

Identify the Parent Function

a)

Rational

b)

Exponential

c)

Logarithmic

d)

Cube Root

18.

$Graph\ f\left(x\right)=\frac{4}{x-2}$

a)

b)

c)

d)

19.

$f\left(x\right)=\ -\frac{1}{x-4}-3$

a)

b)

c)

d)

20.

Write the equation of the graph.

a)

f(x)=- $\sqrt[]{x}+4$

b)

f(x)=- $\sqrt[]{-x-3}-4$

c)

f(x)= $-\sqrt[]{x+3}-4$

d)

f(x)= $\sqrt[]{-x-3}-4$

Graphing Using Parent Functions

Total questions: 20

Worksheet time: 23mins

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