Question

How does the graph change from f(x) to g(x)? Select each correct answer.

Answer 1

Option C is correct.

The graph is shifted 2 units up.

Explanation:

Given the parent function:

`f(x) = 2^(x+3) -3`

To shift the function: We will be adding the number outside the function.

i.e,

`g(x) = f(x) +c`

• if c > 0, then the function shifted up

• if c < 0 , then the function shifted down.

To shift the function f(x), c= 2> 1 unit up we get g(x) i.e

`g(x) =2^(x+3) -3+2 = 2^(x+3) -1`

Therefore, the the graph f(x) change to g(x) which implies that the graph is shifted 2 units up.