Answer:
Horizontal Asymptote → y = 17
Step-by-step explanation:
Given function is f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]
Here, the parent function is g(x) = [tex]\frac{2}{5}(16)^x[/tex]
Parent function has a horizontal asymptote as y = 0
If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]
When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.
Therefore, horizontal asymptote of the image function becomes y = 17.
