Respuesta :
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.
The asymptote of a graph describes the behavior of the graph
The asymptote of [tex]\mathbf{h(x) = 2^x - 5}[/tex] is -5
The function is given as:
[tex]\mathbf{h(x) = 2^x - 5}[/tex]
Set the exponential function 2^x to 0
[tex]\mathbf{h(x) =0 - 5}[/tex]
Evaluate the expression
[tex]\mathbf{h(x) =- 5}[/tex]
Hence, the asymptote is -5
Read more about asymptotes at:
https://brainly.com/question/4084552