How do you graph #f(x)=cos(x-30)#?

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Answer 1 · 2018-06-26T06:24:47

As below.

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

#"Given : " f(x) = cos (x - 30^@) = cos (x - pi/6)#

#A = 1, B = 1, C = pi/3, D = 0#

#"Amplitude " = |A| = 1#

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

#"Phase Shift " = -C / B = -pi/3, " " color(crimson)(pi/3 " to the LEFT"#

#"Vertical Shift " = D = 0#

graph{cos (x - pi/6) [-10, 10, -5, 5]}