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

Respuesta :

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
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