
Functions Transformation
Authored by Barbara White
Mathematics
9th Grade
CCSS covered

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27 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 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
1 min • 1 pt
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
1 min • 1 pt
The blue function is the original function f(x) = x3. Which of the following is the correct equation for the red function, g(x)?
g(x)=x3+1
g(x)=x3-1
g(x)=(x-1)3
g(x)=(x+1)3
Tags
CCSS.HSF.BF.B.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2
shifted up five units
reflection in x-axis
reflection in x-axis
shifted down five units
reflection in x-axis
reflection in x-axis
shifted left 5 units
reflection x-axis
reflection x-axis
shifted right 5 units
reflection x-axis
reflection x-axis
5.
MULTIPLE CHOICE QUESTION
1 min • 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
Tags
CCSS.HSF.BF.B.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the yellow curve has equation f(x)=x2,
Then the blue curve is f(x) = x2 - c
Then the blue curve is f(x) = (x+c)2
Then the blue curve is f(x) = (x-c)2
Then the blue curve is f(x) = x2 + c
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)2
Vertical Shrink of ⅔
Right 7
Right 7
Horizontal Shrink of ⅔
Left 7
Left 7
Left ⅔
Vertical stretch of 7
Vertical stretch of 7
Right ⅔
Horizontal stretch of 7
Horizontal stretch of 7
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