Question

How do you find the amplitude, period, phase shift given `y=-sin(5x+3)`?

Answer 1

As below

Explanation:

Use the form `y = a sin(bx - c) + d` to find amplitude, period and phase shift.
Given `y = - sin (5x + 3)`

Amplitude `= a = 1`

Period `= (2pi) / |b| = (2pi) / 5`

Phase shift `= (-c) / b = -(3/5)`, `color(white)(aaa)(3/5)` to the left.

graph{-sin(5x+3) [-10, 10, -5, 5]}