Question

If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

A. g(x) = x + 6
B. g(x) = x
C. g(x) = 6x
D. g(x) = x – 6

Answer 1

Option D is correct

`g(x) = x-6`

Explanation:

Vertically down :

If y =f(x) is a parent function, then the new function g(x) b units vertically down is, g(x) = f(x) -b.

As per the statement:

Given the parent function:

`f(x) = x`

To shift linear parent function vertically down 6 units.

By definition we have;

g(x) = f(x) -6

⇒
`g(x) = x-6`

Therefore, the equation of new function g(x) is,
`g(x) = x-6`