Question

consider the function f(x)=5(x+2)^(2)-3 which of the following function shifts the gragh of (x) upward by 4 units

Answer 1

`g(x)=5(x+2)^2+1`

Explanation:

The given function is
`f(x)=5(x+2)^2-3`.

Let the new function be g(x).

Then g(x) is obtained by shifting f(x) up by 4 units.

This implies that:
`g(x)=f(x)+4`

`g(x)=5(x+2)^2-3+4`

`g(x)=5(x+2)^2+1`

Hence the new function is
`g(x)=5(x+2)^2+1`