How do you use transformation to graph the cosine function and determine the amplitude and period of #y=cos(-1/4x)#?

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Answer 1 · 2018-07-16T02:22:50

As below

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

#"Given : " y = cos (-x/4)#

#A = 1, B = -(1/4), C = D = 0#

#"Amplitude ' = |A| = 1#

#"Period " = (2 pi) / |B| = (2 pi) / |-1/4| = 8 pi#

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

#"Vertical Shift " = D = 0#

$https://www.symbolab.com/solver/function-periodicity-calculator/periodicity%20f%5Cleft(x%5Cright)%3Dcos%20%5Cleft(-%5Cfrac%7Bx%7D%7B4%7D%5Cright)$