How do you graph y=1/2sec((pix)/2)?

1 Answer
Jun 7, 2018

As Below.

Explanation:

y = (1/2) sec ((pi/2)x)

Standard form is color(red)(y = A sec (Bx - C) + D

Amplitude = |A| = color(red)("NONE") " for secant function"

"Period " = (2pi) / |B| = (2pi) / (pi/2) = 4

"Phase shift " = -C / B = 0

"Vertical Shift " = D = 0

graph{(1/2) sec ((pi/2) x) [-10, 10, -5, 5]}