Dee G.
asked • 09/23/19Find an equation for a sine function having an amplitude of 3, period of 4pi, horizontal shift of 2pi to the left, and a vertical shift of 1.
Mark J. answered • 09/23/19
Start with amplitude.
Y = 3sin(x)
Now period
Y = 3sin(2pix/4pi) = 3sin(x/2)
Now horizontal shift
Y = 3sin( (x+2pi)/2 )
Now the vertical shift
Y = 3sin( (x+2pi)/2 ) + 1
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