Question

If you apply these changes to the linear parent function, f(x) = x, what is the

equation of the new function?
• Vertically compress by a factor of 7.
• Shift up 9 units.
O A. DY) = 7x+9
O B. g(x) = = x+9
O C. () = 7(x-9)
O D. g(x) = + (x+9)

Answer 1

The equation of the new function is
`g(x) = 7x + 9`

Explanation:

Vertically compress by a factor of 7.

Vertically compressing a function by a units is the same as:

`g(x) = f(ax)`

In this question:

`f(x) = x, a = 7`. So

`g(x) = f(7x) = 7x`

Shift up 9 units.

Shifting a function up a units is the same thing as adding a to the function. In this case,
`a = 9`, and then:

`g(x) = 7x + 9`

The equation of the new function is
`g(x) = 7x + 9`