Answer:
The graph of g(x) is the graph of f(x) shifted 5 units right.
Step-by-step explanation:
Horizontal shift:
The parent function y = f(x), then the transformation y = f(x+h) is horizontal shift either right or left.
If h < 0, then the shift is right by h units
if h >0 then, the shift is left by h units
If a parent function
Given the function
[tex]f(x) = 2^x[/tex]
and
[tex]g(x) = f(x+k)[/tex]
⇒[tex]g(x) =2^{x+k}[/tex]
If k = -5 then;
[tex]g(x) = 2^{x-5}[/tex]
By definition :
k = -5 < 0
⇒the graph of g(x) is the graph of f(x) shifted 5 units right.
