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 Feb 23, 2019
 #1
avatar+102441 
-1

\(y=\frac{1}{3}sin6x \)

 

It is easier to reflect around y=0 and then slide down.

 

\(y=\frac{-1}{3}sin6x-1 \)

 

 Feb 23, 2019
 #2
avatar+102441 
-1

Last one (c)

 

Max A(0,3)

Min (2pi,-3)

 

Period = 2(2pi-0)=4pi

Amplitude = 0.5(3--3) = 3 =a

midline    y=0

 

y=sinx   passes through (0,0)   so there is a phase shift here of   -pi

 

 

y=asin[b(x-c)]

 

\(\frac{2\pi}{b}=4\pi\\ b=0.5\)


\(y=3sin[0.5(x--pi)]\\ y=3sin[0.5(x+\pi)]\)

 

 Feb 23, 2019

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