Question

How do you graph `y=sin(x-135)`?

Answer 1

As below.

Explanation:

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

`y = sin (x - 135^@) = sin (x - (3pi)/4)`

`A = 1, B = 1, C = 3pi)/4, D = 0`

`Amplitude = |A| = 1`

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

Phase shift `= -C / B = ((-3pi)/4) / 1 = -(3pi)/4`, `color(red)((3pi)/4)` to the LEFT.

Vertical Shift `= D = 0`

graph{sin (x-((3pi)/4)) [-10, 10, -5, 5]}