Question

What are the important points to graph `f(x)=sin(x-pi/6)`?

Answer 1

As below.

Explanation:

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

`f(x) = sin(x - pi/6)`

`A = 1, B = 1, C = pi/6, D = 0`

`Amplitude = |A| = 1`

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

Phase Shift `= (-C) / B = -(pi/6) / 1 = -pi/6`, `color(red)(pi/6` to the LEFT

Vertical Shift `= D = 0`

graph{sin (x - pi/6) [-10, 10, -5, 5]}