Function Notation Transformation

Describe the transformation from the graph of f to the graph of g. g(x)=rac{1}{5}f(-x)

• vertical shrink by 1/5 and a reflection over the y-axis

• vertical stretch by 1/5 and a reflection over the y-axis

• vertical shrink by 1/5 and a reflection over the x-axis

• vertical stretch by 1/5 and a reflection over the x-axis

Describe the transformation from the graph of f to the graph of g. g(x)=f(x+2)-1

• horizontal translation left 2 and vertical translation down 1

• horizontal translation right 2 and vertical translation down 1

• horizontal translation left 2 and vertical translation up 1

• horizontal translation right 2 and vertical translation up 1

Describe the transformation from the graph of f to the graph of g. g(x)=f(-7x)

• horizontal shrink by 1/7 and reflection over x-axis

• horizontal shrink by 1/7 and reflection over y-axis

• horizontal shrink by 7 and reflection over y-axis

• horizontal shrink by 7 and reflection over x-axis

Describe the transformation from the graph of f to the graph of g. g(x)=f(1/5x)+8

• horizontal shrink by 1/5 and vertical translation down 8

• horizontal shrink by 1/5 and vertical translation up 8

• horizontal stretch by 5 and vertical translation down 8

• horizontal stretch by 5 and vertical translation up 8

Describe the transformation from the graph of f to the graph of g. g(x)=2f(x-6)+15

• horizontal translation left 6, vertical stretch by 2, vertical translation down 15

• horizontal translation left 6, vertical stretch by 2, vertical translation up 15

• horizontal translation right 6, vertical stretch by 2, vertical translation up 15

• horizontal translation right 6, vertical stretch by 2, vertical translation down 15

Describe the transformation from the graph of f to the graph of g. g(x)=rac{7}{3}f(x+2)

Describe the transformation from the graph of f to the graph of g. g(x)=0.75f(x)

• horizontal shrink by 0.75 

• horizontal stretch by 0.75 

• vertical shrink by 0.75 

• vertical stretch by 0.75

Describe the transformation from the graph of f to the graph of g. g(x)=f(x-12)

• horizontal translation left 12

• horizontal translation right 12

• vertical translation up 12

• vertical translation down 12

Describe the transformation from the graph of f to the graph of g. g(x)=7.5f(x)

• horizontal shrink by 7.5 

• horizontal stretch by 7.5 

• vertical shrink by 7.5 

• vertical stretch by 7.5 

Describe the transformation from the graph of f to the graph of g. g(x)=f(x)+3.5.

• horizontal translation left 3.5

• horizontal translation right 3.5

• vertical translation up 3.5

• vertical translation down 3.5