Question 1162017

Use the graph of {{{y = e^x }}}to help sketch the graph of {{{f(x) = 2e^(-3x)}}}

GRAPH THE TRANSLATION:

{{{f(x)=a*b^(x+c)+d}}}

constant {{{a }}}shows a stretch or compression
{{{a=2}}}->shows a stretch

{{{f(x)=b^(-x) }}}reflects the parent function {{{f(x)=b^x }}}about the {{{y}}}-axis.

you have {{{-3x}}} ->reflects the parent function  about the {{{y}}}-axis

{{{c=0}}}
{{{d=0}}}
=> there is {{{no}}} shift 

{{{ graph( 600, 600, -10, 10, -10, 10, e^x , 2e^(-3x)) }}}