Question

How do you graph and list the amplitude, period, phase shift for `y=2csc2theta`?

Answer 1

As below.

Explanation:

Standard form of equation is `y = A csc (Bx - C) + D`

`Amplitude = "None", " Period " = (2pi) / |B|, " Phase Shift "= (-C)/B, " Vertical Shift " = D`

Given equation is `y = 2 csc 2theta`

`Amplitude " A" = "None"`

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

`" Phase Shift, Vertical Shift = None"`

graph{2 csc(2x) [-10, 10, -5, 5]}