Determine the amplitude and period of the following function without graphing.

Question

y = -3cos(6x)

show your work

Answer 1

The amplitude of a cosine function is the absolute value of the coefficient in front of the cosine function. In this case, the amplitude is |-3| = 3.

The period of a cosine function is given by the formula: period = 2π / coefficient of x. In this case, the coefficient of x is 6, so the period is calculated as: period = 2π / 6 = π/3.