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Worksheets

AVE Square Root and Cube Root Graphs

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

Which function matches the graph?

a)

A

f(x) = √(x - 4) - 2

b)

B

f(x) = √(x + 2) - 4

c)

C

f(x) = √(x - 2) - 4

d)

D

f(x) = √(x + 4) - 2

2.

What is the Domain for the graph?

a)

A

-4 ≤ x < ∞

b)

B

− ∞ < x ≤ -2

c)

C

-2 ≤ x < ∞

d)

D

− ∞ < x ≤ -4

3.

Which function matches the graph?

a)

A

f(x) = √(x - 1) + 3

b)

B

f(x) = − √(x + 1) + 3

c)

C

f(x) = √(-x + 1) + 3

d)

D

f(x) = − √(x + 3) − 1

4.

Which function matches the graph?

a)

A

f(x) = ∛(x + 3) + 2

b)

B

f(x) = − ∛(x - 3) + 2

c)

C

f(x) = ∛(x - 3) + 2

d)

D

f(x) = ∛(x - 2) + 3

5.

Which function matches the graph?

a)

A

f(x) = − ∛(x + 3) − 1

b)

B

f(x) = − ∛(x - 3) − 1

c)

C

f(x) = ∛(x + 3) − 1

d)

D

f(x) = ∛(x - 1) + 3

6.
What is a square?
a)
Something you multiply by the 3rd power
b)
A shape
c)
A number you multiply by itself
7.
What is a square root
a)
A number to the second power
b)
A square that has roots on it
c)
Square roots are numbers that produce a specified quantity when multiplied by itself
8.
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)
9.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear

10.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
11.
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
12.
Which of the following is the function shown in the graph?
a)
f(x)= -√(x+4) -2
b)
f(x)= √(x-4) -2
c)
f(x)= -√(x-4) -2
d)
f(x)= √(x+4) +2
13.
Which of the following is the function shown in the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x + 3)
d)
y = √(x) - 3
14.
Which of the following is the function shown in the graph?
a)
y = - √(x + 1)
b)
y = √(x + 1)
c)
y = - √(x) - 1
d)
y = - √(x) + 1
15.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear