Function Notation Transformation

• right

• down

• compressed (shrink)

• left

• reflected

• up

• stretched

Tags

CCSS.HSF.BF.B.3

• right

• up

• left

• down

Tags

AI.9.7.C

Describe the transformation from the graph of f to the graph of g. g\left(x\right)=f\left(x-9\right)

• horizontal translation left 9

• horizontal translation right 9

• vertical translation down 9

• vertical translation up 9

Describe the transformation from the graph of f to the graph of g. g(x)=f(x+8)

• horizontal translation left 8

• horizontal translation right 8

• vertical translation down 8

• vertical translation up 8

Describe the transformation from the graph of f to the graph of g. g\left(x\right)=f\left(\frac{1}{4}x\right)

• horizontal shrink by 4  

• horizontal stretch by 4  

Describe the transformation from the graph of f to the graph of g. g(x)=f(x+5)

• horizontal translation left 5

• horizontal translation right 5

• vertical translation up 5

• vertical translation down 5

Describe the transformation from the graph of f to the graph of g. g(x)=f(-x)

• reflection over the y-axis

• reflection over the x-axis

• vertical stretch by a factor of -1

• vertical shrink by a factor of -1

Describe the transformation from the graph of f to the graph of g. g(x)=f(x)+6

• horizontal translation left 6

• horizontal translation right 6

• vertical translation down 6

• vertical translation up 6

Describe the transformation from the graph of f to the graph of g. g(x)=-f(x)+3

• reflection over the y-axis and a vertical translation down 3

• reflection over the x-axis and a vertical translation down 3

• reflection over the x-axis and a vertical translation up 3

• reflection over the y-axis and a vertical translation up 3