Question

How do you graph `f(x)= 3cos(x- pi) +2`?

Answer 1

As below.

Explanation:

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

`f(x) = 3 cos(x - pi) + 2`

`A = 3, B = 1, C = pi, D = 2`

`Amplitude = |A| = 3`

Period `= (2pi) / |B| = 2pi/1 = 2pi`

Phase Shift `= (-C)/B = (-pi) / 1 = -pi, color (red)(pi` to the LEFT.

Vertical Shift `= D = 2`

graph{3 cos(x - pi) + 2 [-10, 10, -5, 5]}