Question

21. The parent function of the following graph is f(x) = 2^x. What is the equation of the following graph?

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

Plug x = 0 into f(x) to get

f(x) = 2^x

f(0) = 2^0

f(0) = 1

The y intercept (0,1) is on the graph of f(x).

The y intercept for the red curve shown is (0,3). It has been moved up two units compared to (0,1)

Therefore, g(x) = f(x)+2 where g(x) represents the red curve.

g(x) = f(x) + 2

$g(x) = 2^x + 2$ is the answer