Question

select the correct answer from each drop - down menu. the graph of g(x) is shown. the graph of h(x) = g(x + 5) has the same horizontal asymptote as function g a horizontal asymptote at y = 5 a horizontal asymptote at y = 8 and

Explanation:

Step1: Identify g(x) asymptote

From the graph, the horizontal asymptote of $g(x)$ is $y=3$.

Step2: Analyze horizontal shift effect

A horizontal shift $h(x)=g(x+5)$ shifts the graph left 5 units. Horizontal shifts do not change horizontal asymptotes.

Answer:

the same horizontal asymptote as function g