Question

F(x) = 2^x +2: shifts 2 units left
g(x)=


Exponential Functions

Answer 1

g(x) = f(x + 2) = 2^(x + 2) + 2

Explanation:

To shift the function f(x) = 2^x + 2 two units to the left, we need to replace x with (x + 2) in the equation. This will shift the graph horizontally to the left by two units.

So, the new function g(x) that represents the shifted graph is:

g(x) = f(x + 2) = 2^(x + 2) + 2