The general form of a cosine function is y = A cos(Bx + C) + D, where A is the amplitude, B determines the period, C is the horizontal shift, and D is the vertical shift.
In the given function, y = -4 cos 8x, the amplitude is 4 and the vertical shift is 0 (since there is no constant added).
To find the period, we use the formula: period = 2π/B. In this case, B = 8, so the period is:
period = 2π/8 = π/4
Therefore, the period range is π/4 and the amplitude is 4.
Find the period range and amplitude of the cosine function y=-4 cos 8x
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