Question

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

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