Question 1139316
A GENERAL NOTE: STRETCHES AND COMPRESSION OF THE PARENT FUNCTION 

{{{f(x)=b^x}}}

then the function {{{f(x)=ab^x }}}

-is stretched vertically by {{{a}}} factor of {{{a}}} if {{{abs(a)>1}}}
-is compressed vertically by a factor of {{{a}}} if {{{abs(a)<1}}}
-has a y-intercept at ({{{0}}},{{{a}}})
-has a horizontal asymptote of {{{y=0}}}, range of ({{{0}}},{{{infinity}}}), and domain of ({{{-infinity}}},{{{infinity}}}) which are all unchanged from the parent function 

-when we multiply the parent function {{{f(x)=b^x}}} by {{{-1}}}, we get a reflection about the {{{x}}}-axis.
-when we multiply the {{{input}}} by {{{-1}}}, we get a reflection about the {{{y}}}-axis 


you are given:

 {{{f(x) =8^x}}} 

after a vertical compression by a factor of {{{1/4 }}} you got  

{{{g(x) =(1/4)8^x }}}

then multiply the {{{input}}} by {{{-1}}} to get a reflection about the {{{y}}}-axis:  

{{{g(x) =(1/4)8^(-x )}}}


=> your answer is: {{{g(x)=(1/4)8^(-x)}}}