Question 1198583

{{{h(x)=3sin(x-pi/4)}}}

We first need to understand how do the parameters {{{a}}}, {{{b}}} and {{{c }}}affect the graph of 
{{{f (x)=a sin(bx+c) }}}

when compared to the graph of {{{sin(x)}}}


a=amplitude: {{{3}}}
period:{{{2pi}}} (periodicity of {{{sin(x)}}} function)
phase shift:  {{{c/b=(pi/4)/1=pi/4}}}---- shifted  {{{pi/4}}} units to the {{{right}}}
 vertical shift: {{{none}}}

answer:
A) the function {{{g(x)}}} is vertically stretched by a factor of 3}}}. It will also be shifted to the right {{{pi/4 }}}units.