Question 1140832


 {{{y=3.5sin(5x-80)+1.5}}}

{{{ graph( 600, 600, -7, 7, -7, 7, 3.5sin(5x-80)+1.5) }}}


compare to

{{{y=Asin( Bx+-C )+D}}}


Amplitude: {{{A }}}(absolute value)

Period: {{{(2pi)/B }}}

Phase Shift: {{{-C/B}}}

Vertical Shift:{{{ D}}} 

so, you have:

Amplitude: ±{{{3.5}}}

Period: 
periodicity of {{{a*sin(bx+-c )}}}±{{{d}}}= {{{(sin_ base_ periodicity)/abs(b)}}}
 
{{{sin(x) }}}base periodicity is {{{360}}}°

so, {{{period= 360/5= 72}}}°
 

Vertical Shift: the graph shifts up by{{{ D=1.5}}}

Phase Shift: {{{-C/B=80/5=16}}}°