Question

This Question: 2 pts 1 of 4 (0 complete) The function graphed is of the form y- a sin bx or y a cos bx, where b> 0. Determine the equation of the graph. y(Use integers or fractions for any numbers in the expression.)

Answer 1

From the graph at x = 2 pi, f(x) = 0 y = f(x) = a cos bx or a sin bx at x = 0, f(x) = -4 at x = 0, cos bx = 1 but sin bx = 0 So we consider f(x) = a cos bx f(0) = -4 = > -4 = a times 1 = > a = -4 f(x) = -4 cos bx, at x = 2 pi, f(x) = 0 = > 0 = -4 times cos 2 pi b cos 2 pi b = 0, at b = 1/4 cos 2 pi b = cos pi/2 = 0 y = -4 cos 1/4 x

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