Question

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

A.) The graph shifts 1 unit up

B.) The graph shifts 5 units left

C.) The graph shifts 1 unit right

D.) The graph shifts 3 units right

Answer 1

For this case we have the following functions:
f (x) = 2 ^ (x-2)
g (x) = 2 ^ (x + 3)
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x + 5) = 2 ^ ((x + 5) -2)
g (x) = 2 ^ (x + 3)
Answer:
B.) The graph shifts 5 units left