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Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.
Amplitude 2, period pi/4, point (1/6,0)

Write an equation for a sine curve that has the given amplitude and period and which passes through the given point Amplitude 2 period pi4 point 160 class=

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xenia168

Answer:

(C). y = 2sin( 8x - [tex]\frac{4}{3}[/tex] )

Step-by-step explanation:

y = a sin k ( x - b )

a = 2 , k = 2π ÷ [tex]\frac{\pi }{4}[/tex] = 8 , b = [tex]\frac{1}{6}[/tex]

8 ( x - [tex]\frac{1}{6}[/tex] ) = 8x - [tex]\frac{4}{3}[/tex]

y = 2sin(8x - [tex]\frac{4}{3}[/tex])

(C). y = 2sin( 8x - [tex]\frac{4}{3}[/tex] )

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Answer:

It is c

Step-by-step explanation:

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