How do you graph #y=4cos(x+1)-2#?

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Answer 1 · 2018-08-06T04:32:56

As below.

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

#y = 4 cos (x + 1) - 2#

#A = 4, B = 1, C = -1, D = -2#

#Amplitude = |A| = 4#

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

#"Phase Shift ' = -C / B = 1, color(crimson)(" 1 to the RIGHT"#

#"Vertical Shift ' = -2#

Knowing the above 4 parameters, we can draw thegraph.

graph{4 cos(x + 1) - 2 [-10, 10, -5, 5]}