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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

Second Blank Has The Option Of The Same Verticle Asymptote As Function H Vertical Asymptote At X7 Vertical Asymptote At X5 And Vertical Asymptote At X3 class=

Sagot :

Given:

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

[tex]h(x)=g(x+5)[/tex]

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,

[tex]\begin{gathered} x=-2-5 \\ =-7 \end{gathered}[/tex]

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