Question

How do you graph `f(x)=7.8cos1.5(x-pi)+6`?

Answer 1

As Below.

Explanation:

Cosine function format is `y = A cos( Bx - C) + D`

`y = 7.8 sin ((3/2)x - (3pi)/2) + 6`

`A = 7.8, B = 3/2, C = (3pi)/2, D = 6`

`Amplitude = |A| = 7.8`

`"Period " = (2pi) / |B| = (2pi)/(3/2) = (4pi)/3`

`"Phase Shift " = -C / B = -((3pi)/2)/(3/2) = -pi, color(crimson)(pi" to the LEFT"`

`"Vertical Shift " = D = 6`

graph{7.8 cos((3/2)x - (3pi)/2) + 6 [-10, 10, -5, 5]}