How do you graph y = 2 + 1/2csc(x - 3pi/4)?

1 Answer
Mar 31, 2018

As below.

Explanation:

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

Given equation is y = (1/2) csc(x - ((3pi)/4)) + 2

Amplitude = A = 1/2 = " None for csc function"

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

"Phase Shift " = -C / B = (3pi)/4, " " (3pi)/4 " to the right"

"Vertical Shift " = D = 2

graph{(1/2) csc (x - (3pi)/4) + 2 [-10, 10, -5, 5]}