Question

What is the vertical displacement of the basic graph to produce a graph of ? y=-2-cos(x-pi)

A. pi units down
B. 2 units down
C. pi units up
D. 3 units down

Answer 1

B. 2 units down

Answer 2

y = a sin b(x±h) ± k
a : amplitude - take absolute value
k : mid. line or vertical shift (+ up, - down)
period = 2π/b
h : horizontal shift (phase shift). (+ left, - right)
b : angular frequency

The correct answer to this question is B. 2 units down. This is the vertical displacement of the basic graph to produce a graph of y=-2-cos(x-pi).

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