Key Features and Transforming Exponential Functions

Describe the transformation if f(x)=3^x is the parent function and g(x)=3^x+2 is the transformed function.

• horizontal translation left 2 units

• horizontal translation right 2 units

• vertical translation up 2 units

• vertical translation down 2 units

Describe the transformation if f(x)=5^x is the parent function and g(x)=3(5)^x is the transformed function.

• horizontal translation right 3 units

• vertical translation up 3 units

• vertical stretch

• vertical compression

Describe the transformation if f(x)=5^x is the parent function and g(x)=5^x+8 is the transformed function.

• horizontal translation right 5 units

• vertical translation down 8 units

• vertical translation up 8 units

• vertical compression

Describe the transformation if f(x)=3(4)^x is the parent function and g(x)=.15(4)^x is the transformed function.

• vertical stretch

• vertical translation down .15 units

• vertical translation up 4 units

• vertical compression

Describe the transformation if f(x)=3(4)^x is the parent function and g(x)=-3(4)^x is the transformed function.

• vertical stretch

• reflection

• growth

• vertical compression

Describe the transformation if f(x)=-4^x-2 is the parent function and g(x)=4^x-2 is the transformed function.

• horizontal shift right 2 units

• reflection

• growth

• horizontal shift right 2 units

Describe the transformation if f(x)=7^x-2+1 is the parent function and g(x)=7^x-2-4 is the transformed function.

• horizontal shift right 2 units

• vertical translation up 5 units

• growth

• vertical translation down 5 units

Describe the transformation if f(x)=7^x-3 is the parent function and g(x)=7^x-5 is the transformed function.

• horizontal translation right 2 units

• vertical translation up 5 units

• vertical stretch

• vertical translation down 5 units

Select all the transformations of g(x) if the parent function is f(x)=3^x.

• horizontal translation right 2 units

• horizontal translation right 1 unit

• horizontal translation left 1 unit

• reflection

• vertical stretch

Select all the transformations of g(x) if the parent function is f(x)=3^x.

• horizontal translation right 4 units

• vertical translation up 4 units

• horizontal translation left 4 units

• reflection

• vertical translation down 3 units