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

Mar 27, 2018

As below.

#### Explanation:

Standard form of equation is $y = A \csc \left(B x - C\right) + D$

$A m p l i t u \mathrm{de} = \text{None", " Period " = (2pi) / |B|, " Phase Shift "= (-C)/B, " Vertical Shift } = D$

Given equation is $y = 2 \csc 2 \theta$

$A m p l i t u \mathrm{de} \text{ A" = "None}$

$\text{Period } = \frac{2 \pi}{|} B | = \frac{2 \pi}{2} = \pi$

$\text{ Phase Shift, Vertical Shift = None}$

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