Answered

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A sine function has an amplitude of 3, a period of π, and a phase shift of pi over 2 period What is the y-intercept of the function?

A Sine Function Has An Amplitude Of 3 A Period Of Π And A Phase Shift Of Pi Over 2 Period What Is The Yintercept Of The Function class=

Sagot :

The sine fuction we have is

[tex]f(x)=3\sin \mleft(2x+\frac{\pi}{2}\mright)[/tex]

If we want the y-intercept, we must put x = 0, then

[tex]\begin{gathered} f(x)=3\sin (2x+\frac{\pi}{2}) \\ \\ f(0)=3\sin (\frac{\pi}{2}) \\ \\ f(0)=3\cdot1 \\ \\ f(0)=3 \end{gathered}[/tex]

Therefore the y-intercept is 3.

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