Posted by sarah on Friday, December 7, 2012 at 6:52pm.
The midpoint of the range -4 <= y <=1 is y = -1.5 with an amplitude of 2.5
The equation is now of the form:
y = 2.5*sin(a*x) - 1.5
When a = 1, the period is 360 degrees. So when a = 45/360; the period will be 45 degrees, or when a = 1/8
y = 2.5*sin(x/8) - 1.5
for the second part, note that sin(a*x) = cos(a*(x-90))
y = 2.5*sin((x-90)/8) -1.5
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