Draw a graph of 𝑦=2cos(2𝜋x −4)−1 Can anyone help me solve this?

Question

Amplitude = 2
Period = 1
Phase shift = #2/pi#

How to determine the period when it's not in terms of #pi#? How to shift the graph to the right using that phase shift value?

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Answer 1 · 2018-05-03T11:22:24

As detailed.

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

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

#"Amplitude " = |A| = 2#

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

#"Phase Shift " = -C / B = 4 /( 2pi) = 2 / pi, " to the right"#

#"Vertical Shift " = D = -1#

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