For y= -6cos(x-pi/5)

Question

1. Its amplitude is ____
2. Its period is ____
3. Its phase shift is ____

Answer 1

The amplitude is just the number in front (do not include the sign) so Amplitude = 6

Period is defined by the coefficient in front of the "x" by taking 2π divided by that coefficient. In this case that coefficient is 1 so the period is 2π/1 or 2π.

The phase shift is the opposite of the number grouped with the x. In this case, the number grouped with the x is -π/5 so the phase shift is the opposite of that or π/5.