Question

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 3?

The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.

Answer 1

it shifted left 5 units

Explanation:

Answer 2

g(x) = f(x)+5, so it is shifted up 5 units.

or,

f(x) = 2x-3
g(x) = 2x+2 = 2(x+5/2)-3
So, g(x) is f(x) shifted left 5/2