Question 858672
 We are given y=4^x and asked to show a reflection about the y axis and a dilation of 1/2.
first rewrite the equation using function notation
f(x) = 4^x
now
f(-x) = 4^-x = 1/4^x
dilation is a scale factor on the function, since we are showing a reflection about the y axis, we will use vertical dilation, therefore
f(x) = (1/2)*1/4^x
here is the graph of both equations (red line is f(x) = 4^x, green is reflection with vertical dilation)
{{{ graph( 300, 200, -10, 10, -10, 10, 4^x, 1/2 * 1/4^x) }}}