Transformations of Linear Equations

Determine the graph of the parent function ​f(x)=x and the ​g(x)=21f(x) function.

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Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x)−5 function.

• The graph shifts 5 units to the left.

• The graph shifts 5 units down.

• The graph shifts 5 units to the right.

• The graph shifts 5 units up

Tags

CCSS.HSF.BF.B.3

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x)−5 function.

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The​ y-intercept of ​g(x)=f(x)−5 is

• -5

• 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The graph of the function ​g(x)=f(x)−5 has _____ f(x).

• the same slope as

• a steeper slope than

• a more flat slope

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x−6) function.

• The graph shifts right 6 units.

• The graph shifts left 6 units.

Tags

CCSS.HSF.BF.B.3

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x−6) function.

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Find an equation for​ g(x) when ​g(x)=−​f(x).

​f(x)=8x

​g(x)= ____

• -8x

• -8

• 8x

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Determine the effects on the graph of​ f(x) when ​g(x)=−​f(x).

• Reflection across the​ y-axis, y-intercept changed to -1

• Reflection across the​ x-axis, y-intercept changed to -1

• Reflection across the​ x-axis, same​ y-intercept

• Reflection across the​ y-axis, same​ y-intercept

Tags

CCSS.HSF.BF.B.3

Determine the effects on the graph of​ f(x) when ​g(x)=−​f(x).

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Tags

CCSS.HSF.BF.B.3