Free Printable Graphing Radical Functions (includes Domain & Range)

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Worksheets

Graphing Radical Functions (includes Domain & Range)

Total questions: 20

Worksheet time: 2hrs 40mins

Name

Class

Date

1.

What is the parent function of square root functions?

a)

f(x) = x

b)

f(x) = √x

c)

f(x) = -√x

d)

f(x) = x²

2.

Which is the graph of the given function

a)

b)

c)

d)

3.

Which is the graph of the given function?

a)

b)

c)

d)

4.

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

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

5.

Which of these equations shifts a radical equation left 3 times?

a)

y = √(x) + 3

b)

y = √(x) - 3

c)

y = √(x + 3)

d)

y = √(x - 3)

6.

Which of these equations shifts a radical equation right 5 times and down once?

a)

y = √(x - 5) - 1

b)

y = √(x + 5) - 1

c)

y = √(x - 5) + 1

d)

y = √(x + 5) + 1

7.

Which of the following is the function shown in the graph?

a)

b)

c)

d)

8.

Which equation matches the transformation described?

a)

b)

c)

d)

9.

a)

b)

c)

d)

10.

Describe the transformation of the parent function

a)

b)

c)

d)

11.

Which equation represents the "GREEN"transformation ?

a)

b)

c)

d)

12.

Which of these represents the transformed radical function?

a)

b)

c)

d)

13.

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

a)

reflects over x axis, vertical stretch by 3, right 2, up 1

b)

reflects over y axis, vertical compression by -3, left 2, up 1

c)

reflects over x axis, vertical stretch by -3, left 2, up 1

d)

reflects over y axis, vertical compression by 1/3, right 2, up 1

14.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

15.

Identify the Range

a)

(- ∞, -2 ]

b)

[ -2, ∞ )

c)

All Real Numbers

d)

[ 0, ∞)

16.

Identify the DOMAIN and RANGE

a)

b)

c)

d)

17.

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

a)

Domain: (-∞, ∞) Range: [-∞, 4]

b)

Domain: [1, ∞) Range: (-∞, 4]

c)

Domain: [-1. ∞) Range: [4, ∞)

d)

Domain: [4, ∞) Range: [-1,∞)

18.

a)

b)

c)

d)

19.

a)

b)

c)

d)

20.

a)

b)

c)

d)

100 %

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