<PRE><B>Question 1128744</B>
&lt;br&gt;
To begin with, the given function is in a very unusual form.&lt;br&gt;
{{{1/(3^(-x)) = 3^x}}}&lt;br&gt;
But we can, nevertheless, work the problem with the function as given.&lt;br&gt;
The vertical compression factor becomes a factor outside the parentheses, as you say.&lt;br&gt;
But what you are doing with the reflection about the y axis makes no sense.  Reflecting a function about the y axis changes x to the opposite of x.&lt;br&gt;
So a reflection of f(x) = 1/3^(-x) about the y axis and a compression vertically by a factor of 1/4 yields&lt;br&gt;
g(x) = (1/4)(1/(3^x))&lt;br&gt;
Graphs of f(x) (red) and g(x) (green):&lt;br&gt;
{{{graph(400,400,-6,6,-2,10,1/(3^(-x)),(1/4)(1/(3^x)))}}}</PRE>