How do you graph #y = 1 - cos(pix)#?

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Answer 1 · 2018-08-07T14:21:02

As below.

#y = 1 - cos (pi x)#

#y = A cos (Bx - C) + D# is the standard form of cosine function.

#A = -1, B = pi, C = 0, D = 1#

#Amplitude = |A| = |-1| = 1#

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

Phase Shift #= -C / B = 0#

Vertical Shift # = D = 1#

graph{- cos(pi x) + 1 [-10, 10, -5, 5]}