Families of Functions Transformation

Which describes the following transformation?
f(x + 4) - 2

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

Which describes the following transformation?
f(x - 4) - 2

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift down 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift up 2

Which describes the following transformation?
3f(x - 2)

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 1/3
• horizontal shift to the left 2 and vertical compression by a factor of 1/3

Name the parent function.

• linear
• constant
• absolute value
• quadratic

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Name the parent function.

• cube root
• quadratic
• cubic
• square root

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Name the parent function. 

• constant
• square root
• linear
• absolute value

Name the parent function. 

• constant
• quadratic
• linear
• exponential