WorksheetsRadical Transformations
Total questions: 23
Worksheet time: 26mins
Name
Class
Date
1.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
2.
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
3.
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
4.
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
5.
Which of the following is the function shown in the graph?
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
6.
What is the domain of the function in this graph?
a)
x ≤ 3
b)
x ≥ 3
c)
x ≤ 0
d)
x ≥ 0
7.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
8.
What kind of function is represented by the graph?
a)
Cube Root Function
b)
Cubic Function
c)
Polynomial Function
d)
Square Root Function
9.
Identify the Transformations.
a)
Down 2
b)
Up 2
c)
Reflection and stretch by 2
d)
Reflection and down 2
10.
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
11.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
12.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
13.
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
14.
Describe the transformation.
a)
Right 10
b)
Up 10
c)
Down 10
d)
Left 10
15.
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, and shifted right 5
c)
Reflected over the x-axis, vertical stretch, and shifted left 5
d)
Shifted right 5, shifted down 2
16.
Describe the transformations.
a)
Translate Right 2, Down 4
b)
Translate Left 2, Down 4
c)
Translate Left 2, Up 4
d)
Translate Right 2, Up 4
17.
What are the transformations to the graph compared to the parent function?
a)
Shifted right 2, shifted up 3, and reflected over the y-axis
b)
Shifted left 2, shifted up 3, and reflected over the y-axis
c)
Shifted left 2, shifted up 3, and reflected over the x-axis
d)
Shifted right 2, shifted up 3, and reflected over the x-axis
18.
f(x) = -√(x) - 2
a)
Reflect over x-axis
Down 2
Down 2
b)
Reflect over y-axis
Up 2
Up 2
c)
Reflect over x-axis
Up 2
Up 2
d)
Reflect over y-axis
Down 2
Down 2
19.
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
20.
Describe the transformation.
a)
right 5
b)
left 5
c)
up 5
d)
down 5
21.
Describe the transformation.
a)
Right 10
b)
Up 10
c)
Down 10
d)
Left 10
22.
Describe the transformation.
a)
Vertical Stretch by 2
b)
Vertical Shrink by ⅓
c)
Horizontal Shrink by ⅓
d)
Horizontal Stretch by 3
23.
Describe the transformation
a)
Horizontal Stretch by 5, Down 6
b)
Vertical Stretch by 5, Up 6
c)
Horizontal Shrink by ⅕, Down 6
d)
Vertical Stretch by 5, Down 6
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