Explanation
We are given the function
[tex]y=\frac{1}{2}(3)^{-2x}+6[/tex]
First, we have to find the y-intercept
The y-intercept is the point where the graph intersects the y-axis. From the graph, the y-intercept is 6.5
To get the horizontal asymptote
We approach a horizontal asymptote by the curve of a function as x goes towards infinity.
From the graph above,
The horizontal asymptote is
[tex]y=6[/tex]
For the transformation
