How do you find the amplitude, period, vertical and phase shift and graph #y=1/2sintheta+1/2#?

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Answer 1 · 2018-07-13T01:57:36

As below.

#y = (1/2) sin (theta) + 1/2#

Standard form of a sine function is #y = A sin (Bx - C) + D#

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

#Amplitude = |A| = 1/2#

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

#"Phase Shift ' = -C / B = 0#

#"Vertical shift " = D = 1/2#

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