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Focused Practice - Transformations

Authored by Cassandra Winkle

Mathematics

9th Grade

CCSS covered

Focused Practice - Transformations
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5 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph  f(x)=x2f\left(x\right)=x^2  was transformed to create the graph of  g(x)=13x2g\left(x\right)=-\frac{1}{3}x^2  Which of the following describes this transformation?

Reflected over y-axis and narrower by a factor of  13\frac{1}{3}  

Reflected over x-axis and wider by a factor of  13\frac{1}{3}  

Reflected over y-axis and wider by a factor of  13\frac{1}{3}  

Reflected over x-axis and narrower by a factor of  13\frac{1}{3}  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The quadratic parent function is translated 8 unit to the right and 3 units down. Which of the following equations can be used to model this transformation?

y=(x3)28y=\left(x-3\right)^2-8

y=(x+3)28y=\left(x+3\right)^2-8

y=(x8)23y=\left(x-8\right)^2-3

y=(x+8)23y=\left(x+8\right)^2-3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A student graphed  f(x)=x2   and   g(x)=x2+3 f\left(x\right)=x^2\ \ \ and\ \ \ g\left(x\right)=x^2+3\  on the same coordinate grid. Which statement describes how the graphs of f and g are related? 

The graph of f is shifted 3 units up to create the graph of g

The graph of f is shifted 3 units down to create the graph of g

The graph of f is vertically stretched to create the graph of g

The graph of f is horizontally stretched to create the graph of g

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Match the equation to its description.

Reflected over x and up 4
Reflected over x and down 4
Reflected over x and right 4 
Reflected over x and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

5.

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

Media Image

Match the description to its equation.
Moves up 2
Moves left 4

A
B
C
D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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