Cubic Function Transformations
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which g(x) function results in this graph?
f(x)=x^3
g(x)=f(x-3)-1
f(x)=x^(1/3)
g(x)=f(x-3)-1
f(x)=x^3
g(x)= - f(x-3)-1
f(x)=x^(1/3)
g(x)= - f(x-3)-1
Tags
CCSS.HSF.BF.B.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If f(x) = x3 is changed to f(x) = - (x + 3)3 + 2, how is the graph transformed?
3 units right, 2 units up, reflected across the y-axis
3 units right, 2 units up, reflected across the x-axis
3 units left, 2 units up, reflected across the y-axis
3 units left, 2 units up, reflected across the x-axis
Tags
CCSS.HSF.BF.B.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation for the red function?
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
What transformations has the function undergone?
reflect over y, vertical compress by 2, right 5, up 1
reflect over x, horizontal compression by 2, left 5, up 1
reflect over x, vertical stretch by 2, right 5, up 1
reflect over y, horizontal stretch by -2, right 5, up 1
Tags
CCSS.HSF.BF.B.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What transformations have occurred to get the graph of g(x) from the graph of f(x)?
reflection over the x-axis,vertical compress by a factor of 5
reflection over the y-axis,vertical compress by a factor of 5
reflection over the x-axis,vertical stretch by a factor of 5
reflection over the y-axis,vertical stretch by a factor of 5
Tags
CCSS.HSF.BF.B.3
6.
DROPDOWN QUESTION
1 min • 1 pt
Stretch
Compress
x-axis
y-axis
Right
Left
Up
Down
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What transformations have occurred to get the graph of g(x) from the graph of f(x)?
vertical shrink by a factor of 1/4,translation down 2 units
vertical shrink by a factor of 1/4,translation right 2 units
vertical stretch by a factor of 1/4,translation down 2 units
vertical stretch by a factor of 1/4,translation right 2 units
Tags
CCSS.HSF.BF.B.3
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