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The function graphed is of the form y=a sin bx or y=a cox bx, where b>0. Determine the equation of the graph.

The Function Graphed Is Of The Form Ya Sin Bx Or Ya Cox Bx Where Bgt0 Determine The Equation Of The Graph class=

Answer :

The equation is of the form y=asinbx

The amplitude of the graph is a=3 unit

The period is

[tex]\frac{\pi}{2}[/tex]

Thus,

[tex]\frac{2\pi}{b}=\frac{\pi}{2}\Rightarrow b=4[/tex]

Thus the equation becomes,

y=3sin(4x)

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