How do you graph y= - 3sec(2pix - pi/4)y=3sec(2πxπ4)?

1 Answer
May 6, 2018

As below.

Explanation:

y = A sec (Bx - C) + Dy=Asec(BxC)+D

"Given : " y = -3 sec (2pix - (pi/4)) Given : y=3sec(2πx(π4))

"Function : sec (x) doesn't have amplitude"Function : sec (x) doesn't have amplitude

"Period " = (2pi) / |B| = (2pi) / (2pi) = 1Period =2π|B|=2π2π=1

"Phase Shift " = -C / B = (pi/4) / (2pi) = 1/8, " 1/8 to the right"Phase Shift =CB=π42π=18, 1/8 to the right

"Vertical Shift " = D = 0Vertical Shift =D=0

graph{-3 sec (2pix - (pi/4)) [-10, 10, -5, 5]}