Question

second blank has the option of , the same verticle asymptote as function h, vertical asymptote at x=-7, vertical asymptote at x=-5, and vertical asymptote at x=3

Answer 1

Given:

The graph is g(x) is given and the function h(x) is,

$h(x)=g(x+5)$

To classify the asymptotes:

Since the translated transformation of 5 units left,

There are no changes in the horizontal asymptote.

But, the vertical asymptote is,

$\begin{gathered} x=-2-5 \\ =-7 \end{gathered}$

Thus, the graph h(x)=g(x+5) has the same horizontal asymptote as the function g