How do you translate the graph of #y=1/2cos(x+pi/2)#?

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Answer 1 · 2018-07-25T12:08:14

As below.

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

#y = 1/2 cos (x + pi/2)#

#A = 1/2, B = 1, C = - pi/2, D = 0#

Amplitude #= |A| = 1/2#

Period #= (2pi)/|B| = (2pi)/1 = 2pi#

Phase Shift #= -C / B =( pi/2) / 1 = pi/2, color(red)(pi/2# to the RIGHT

Vertical Shift #= D = 0#

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