Write an equation for a cosine function which has an amplitude of 6, a period of π, and phase shift 𝜋/ 2 to the left.

Answer 1

An equation has the form y = Acos(Bx + C), where:

Amplitude = A

Period = 2π/B

Phase shift = -C/B

A = 6

2π / B = π So, B = 2

-C / B = -C / 2 = -π / 2 So, C = π

Equation: y = 6cos(2x + π)