Answer:
Option 3 - y=-2
Step-by-step explanation:
Given : Function [tex]h(x)=4^x-2[/tex]
To find : What is the asymptote of the graph of function ?
Solution :
A function of the form [tex]f(x) = a(b^x) + c[/tex] always has a horizontal asymptote at [tex]y=c[/tex].
On comparing with function [tex]h(x)=4^x-2[/tex]
Here, a=1, b=4 and c=-2
The equation of the horizontal asymptote is y=-2.
Therefore, option 3 is correct.
