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WorksheetsTransformations and Parent Functions
Total questions: 14
Worksheet time: 29mins
Name
Class
Date
1.
What are the shifts of the graph
f(x)=(x−2)3−8 from the parent graph of f(x)=x3 ?a)
Left 2 and Up 8
b)
Right 2 and Up 8
c)
Left 2 and Down 8
d)
Right 2 and Down 8
2.
What are the shifts of the graph
f(x)=(x+5)3−11 from the parent graph of f(x)=x3 ?a)
Left 5 and Up 11
b)
Right 5 and Up 11
c)
Left 5 and Down 11
d)
Right 5 and Down 11
3.
What are the shifts of the graph
f(x)=(x+5)3−11 from the parent graph of f(x)=x3 ?a)
Left 5 and Up 11
b)
Right 5 and Up 11
c)
Left 5 and Down 11
d)
Right 5 and Down 11
4.
a)
A.
b)
B.
c)
C.
d)
D.
5.
a)
y = (x - 1)2 - 2
b)
y = (x + 1)2 - 2
c)
y = (x - 2)2 + 1
d)
y = (x + 2)2 - 1
6.
a)
y = (x - 2)2 + 4
b)
y = -(x - 4)2 + 2
c)
y = -(x - 2)2 + 4
d)
y = -(x + 2)2 + 4
7.
a)
y = Ix + 3I - 1
b)
y = Ix - 3I - 1
c)
y = Ix + 1I + 3
d)
y = Ix - 1I + 3
8.
a)
y = Ix + 2I - 1
b)
y = -Ix + 2I - 1
c)
y = -Ix - 2I - 1
d)
y = -Ix + 1I - 2
9.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
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.
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
12.
What equation represents the quadratic function?
a)
y = (x - 4)2 + 1
b)
y = (x + 1)2 - 4
c)
y = (x - 4)2 - 1
d)
y = (x - 1)2 - 4
13.
Which parent function matches the graph?
a)
f(x) = x
b)
f(x)= x2
c)
f(x) = |x|
d)
f(x) = abx
14.
What is the equation of this graph?
a)
f(x) = (x + 2)2 - 3
b)
f(x) = (x - 2)2 - 3
c)
f(x) = |x + 2| - 3
d)
f(x) = |x - 2| - 3
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