Question 1098461
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Given the equation {{{ y=2^x }}} predict the equation for the graph that has been reflected in the y-axis, 
given a vertical stretch by a factor of 5, translated 2 units right and 5 units down 
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y = {{{2^x}}}.

Reflected in the y-axis:                     y = {{{2^(-x)}}};


given a vertical stretch by a factor of 5:   y = {{{5*2^(-x)}}};


translated 2 units right:                    y = {{{5*2^(-(x-2))}}};


             and 5 units down:               y = {{{5*2^(-(x-2)) - 5}}}.


<U>Answer</U>:  y = {{{5*2^(-(x-2)) - 5}}},  or, equivalently,  y = {{{5*2^(-x+2) - 5}}} = {{{5*(4*2^(-x)-1)}}}.
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