Question 1118317
the graph of y = 2^x(red line) and y = 2^(-x+3)(green line) looks like this
:
{{{ graph( 300, 200, -2, 7, -1, 7, 2^x, 2^(-x+3)) }}}
:
if the second function were y = 2^(x+3), we get the horizontal shift to the left
:
{{{ graph( 300, 200, -7, 7, -1, 7, 2^x, 2^(x+3)) }}}
:
we have a -x in the original equation, the -1 is a horizontal scale which divides each x value by -1, which causes a reflection about the y axis