Question

How do you translate the graph of `y=cos(x+pi)-1/2`?

Answer 1

As below.

Explanation:

Standard form of cosine function `y = A cos (Bx - C) + D`

Given `y = cos (x + pi) - 1/2`

`A = 1, B = 1, C = -pi, D = -1/2`

Amplitude `= |A| = 1`

Period `= (2pi) / |B| = 2pi`

Phase Shift `= -C / B =- pi/1 =- pi, pi` to the left.

Vertical Shift `= D = -1/2`

graph{cos(x + pi) - 1/2 [-10, 10, -5, 5]}