WorksheetsTransformations of square roots
Total questions: 20
Worksheet time: 20mins
Name
Class
Date
1.
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
2.
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
3.
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
4.
Which is the graph of the square root parent function?
a)
A
b)
B
c)
C
d)
D
5.
What is the equation of the function that is graphed?
a)
f(x)= - √x
b)
f(x) = √-x
c)
f(x) = - √-x
6.
Describe the transformation:
y = -√x
y = -√x
a)
Translate Down 1
b)
Translate Right 1
c)
Reflection over the x-axis
d)
Reflection over the y-axis
7.
Describe the transformation
y = 2√x
y = 2√x
a)
Vertical Compression by 2
b)
Vertical Expansion by 2
c)
Vertical Compression by 1/2
d)
Horizontal Expansion by 2
8.
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
9.
Describe the transformations.
f(x) = √(x+2) - 4
f(x) = √(x+2) - 4
a)
Translate Right 2, Down 4
b)
Translate Left 2, Down 4
c)
Translate Left 2, Up 4
d)
Translate Right 2, Up 4
10.
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
11.
g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated down 4.
b)
f(x) has been translated up 4.
12.
g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the right 3.
b)
f(x) has been translated to the left 3.
13.
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift up 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift down 2
14.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
15.
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
16.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = √(x) - 2
c)
y = √(x - 3)
d)
y = √(x) + 3
17.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
18.
a)
x = 81
b)
x = -9
c)
x = 9
d)
x = -81
19.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
20.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
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