Verified Answer :

LadyCiel

Since there is a -5 at the end of the equation, that means that it is vertically translated 5 units down. The parent function's asymptote is y=0, so when it is vertically translated 5 units down, it is y=-5.

MrRoyal

The asymptote of a graph describes the behavior of the graph

The asymptote of \(\mathbf{h(x) = 2^x - 5}\) is -5

The function is given as:

\(\mathbf{h(x) = 2^x - 5}\)

Set the exponential function 2^x to 0

\(\mathbf{h(x) =0 - 5}\)

Evaluate the expression

\(\mathbf{h(x) =- 5}\)

Hence, the asymptote is -5

Read more about asymptotes at:

https://brainly.com/question/4084552

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