a cosine function that passes through the points (1/2,1) and (3/2,-3).
the equation is f(x)= 2cos(πx-π/2)-1
Maximum value: y=1
Minimum value: y=-3
Midline: y=-1
Find the amplitude and period
Amplitude: The amplitude of the cosine function is the absolute value of the coefficient of the cosine term, which is 2 in this case. Therefore, the amplitude is 2.
Period: The period of a cosine function is 2π divided by the coefficient of x, which is π in this case. Therefore, the period is 2π/π = 2.
Therefore, the amplitude is 2 and the period is 2.