Transformations of Functions Review
Authored by Heather Downey
Mathematics
11th Grade
Used 1+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?
Left 3 and up 5
Right 3 and down 5
Left 3 and down 5
Right 3 and up 5
2.
MULTIPLE CHOICE QUESTION
2 mins • 12 pts
If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?
-f(x)
f(-x)
f-1(x)
f(2x)
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Identify the transformations.
horizontal shift to the left 2 and vertical stretch by a factor of 3
horizontal shift to the right 2 and vertical stretch by a factor of 3
horizontal shift to the right 2 and vertical shrink by a factor of 3
horizontal shift to the left 2 and vertical shrink by a factor of 3
4.
MULTIPLE CHOICE QUESTION
45 sec • 12 pts
Match the equation to its description.
Right 2 and up 2
Left 2 and up 2
Right 2 and down 2
Left 2 and down 2
5.
MULTIPLE CHOICE QUESTION
45 sec • 12 pts
g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).
f(x) has been reflected over the x-axis.
f(x) has been reflected over the y-axis.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a translation shifting f(x) 4 units up
a translation shifting f(x) 4 units down
a translation shifting f(x) 4 units to the left
a translation shifting f(x) 4 units to the right
7.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
Vertical Compression by a factor of 2
Vertical Stretch by a factor of 2
Vertical translation up by 2 units.
Reflection across the x-axis.
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