How do you draw a sketch of $y = 1 + cos (x - pi)$

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Answer 1 · 2018-07-13T11:58:57

As below

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

Given $y = cos (x - pi) + 1$

$A = 1, B = 1, C = pi, D = 1$

$Amplitude = |A| = 1$

Period $= (2pi) / |B| = 2 pi$

Phase Shift $= -C / B = -pi / 1 = -pi$ , $pi$ to the LEFT

Vertical Shift $= 1$

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

How do you draw a sketch of y = 1 + cos (x - pi)y = 1 + cos (x - pi)