Question: Consider the function f : R - R defined by f(x) = 1 - 2 cos 3 ( x - 4)) a) State the amplitude,

Consider the function f : R - R defined by f(x) = 1 - 2 cos 3 ( x - 4)) a) State the amplitude, the phase shift, the period and the equation of the midline of the curve y = f(x). b) Determine all solution to f(x) = 0 with x E [0, 12]. c) Sketch the graph of the curve y = f(x) for x E [0, 12]. Label all axial intercepts, and the coordinates of the 22 of25 endpoints of the curve. [2 + 6 + 4 = 12 marks]

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