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

Answer:

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

Step-by-step 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  $g(x)=5(x+2)^2+1$