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WorksheetsMonday: Transformations
Total questions: 15
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
shift 4 units up
b)
shift 4 units down
c)
shift 4 units to the left
d)
shift 4 units to the right
2.
If the blue graph is
f(x) = x2
the red must be...
f(x) = x2
the red must be...
a)
g(x) = (x + 3)2
b)
g(x) = (x - 3)2
c)
g(x) = x2 + 3
d)
g(x) = x2 - 2
3.
What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)
a)
shift right 2
b)
shift left 2
c)
shift up 4
d)
shift down 4
4.
If red represents y = x2, which equation represents blue?
a)
y = 2x2
b)
y = -2x2
c)
y = -x2
d)
y = (x - 1)2
5.
If the blue graph is
f(x) = x2
then the red must be...
f(x) = x2
then the red must be...
a)
g(x) = x2 - 5
b)
g(x) = x2 + 5
c)
g(x) = (x - 5)2
d)
g(x) = (x + 5)2
6.
In the equation f(x)=5(x+3)2-10 what does the 5 do?
a)
Vertical stretch by 5
b)
Horizontal compress by 5
c)
Reflect
d)
Move up 5
7.
Match the equation to its description.
a)
Vertical Stretched by 2 and translation up 4
b)
Vertical Compressed by 2 and translation up 4
c)
Horizontal Stretched by 2 and translation left 4
d)
Horizontal Compressed by 2 and translation right 4
8.
What equation would yield a transformation right 3 units if your initial function was y=2x
a)
y=2x-3
b)
y=2x+3
c)
y=2x+3
d)
y=2x-3
9.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
10.
What is the transformation?
a)
Horizontal Translation left 2
b)
Vertical Translation down 2
c)
reflection across bacchi
d)
Reflection across the x-axis
11.
How did we transform from f(x) =x2
to
g(x) = -3x2
a)
reflection in x-axis and vertical shift down
b)
reflection in x-axis and vertical stretch
c)
horizontal stretch
d)
reflection in x-axis and vertical compression
12.
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?
f(x) = x2 to the graph of
g(x) = (x + 4)2?
a)
a vertical translation 4 units up
b)
a vertical translation 4 units down
c)
a horizontal translation 4 units to the left
d)
a horizontal translation 4 units to the right
13.
Match the equation to its description.
a)
Vertical Stretched by 2 and translation up 4
b)
Vertical Compressed by 2 and translation up 4
c)
Horizontal Stretched by 2 and translation left 4
d)
Horizontal Compressed by 2 and translation right 4
14.
What is the parent function of a quadratic?
a)
y=x
b)
y=x2
c)
y=x
d)
y=∣x∣
15.
Describe the transformation of
f(x) = x2 -8 when compared to the parent function
f(x) = x2 -8 when compared to the parent function
a)
Vertical shift sp 8 units
b)
Vertical shift down 8 units
c)
Horizontal shift right 8 units
d)
Horizontal shift left 8 units
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