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Worksheets11.3 Parent functions and transformations
Total questions: 16
Worksheet time: 2hrs 34mins
Name
Class
Date
1.
What is the parent function for an absolute value function?
a)
f(x)=x3
b)
f(x)=x
c)
f(x)=IxI
d)
f(x)=x2
2.
What is the parent function for a cubic function?
a)
f(x)=x3
b)
f(x)=x
c)
f(x)=IxI
d)
f(x)=x2
3.
Describe the transformation that is applied to the parent function.
f(x) = IxI -5
f(x) = IxI -5
a)
Shifts left 5
b)
Shifts right 5
c)
Shifts up 5
d)
Shifts down 5
4.
Describe the transformation that is applied to the parent function.
f(x) = 3 Ix+8I
f(x) = 3 Ix+8I
a)
Stretches by 3, Shifts left 8
b)
Stretches by 3, Shifts right 8
c)
Stretches by 3, Shifts up 8
d)
Stretches by 3, Shifts down 8
5.
What is the equation to this graph?
a)
f(x)= Ix+2I +1
b)
f(x)= Ix-2I +1
c)
f(x)= Ix+2I -1
d)
f(x)= Ix-2I -1
6.
What is the range to this graph?
a)
y> 1
b)
y>= 1
c)
y< 1
d)
y<= 1
7.
If x=2 What is y?
a)
y= -3
b)
y= -6
c)
y=1
d)
y= 2
8.
If x is -8, what is y?
a)
y = -21
b)
y = 1
c)
y = 10
d)
y = 9
9.
What is the value of f(7.5)?
a)
2.5
b)
3
c)
-2.5
d)
2
10.
a)
Left 2, Down 2, Vertical Stretch
b)
Right 2; Up 1;
c)
Vertical Stretch; Right 2; Up 1
d)
Left 2; Down 2;
11.
a)
Left 2; Up 2
b)
Right 2; Down 2
c)
Left 2; Up 2; Reflection over x-axis
d)
Vertical stretch by factor of 3; Right 2; Down 2
12.
a)
Reflection over y-axis; Right 3; Up 1
b)
Right 3; Up 1
c)
Reflection over x-axis; Left 3; Up 1
d)
Reflection of x-axis; Right 3; Up 1
13.
a)
Absolute Value
b)
Quadratic
c)
Cubic
d)
Linear
14.
a)
f(x) = −(x−2)3−1
b)
f(x) = −(x+2)3−1
c)
f(x) = −(x−2)3 + 1
d)
f(x) = −(x+2)3 + 1
15.
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
16.
Describe the transformation.
a)
up 3
b)
down 3
c)
left 3
d)
right 3
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