How do you graph $y = -½ cosπ/3 x$ ?

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Answer 1 · 2018-07-15T03:01:30

As below.

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

$"Given " y = -(1/2) cos ((pi x)/3)$

$A = -1/2, B = pi/3, C = D = 0$

$Amplitude = |A| = |-1/2| = 1/2$

$"Period ' = (2pi) / |B| = (2pi) / (pi/3) = 6$

$"Phase shift ' = -C / B = 0$

$"Vertical Shift " = D = 0$

graph{(-1/2) cos((pi x) / 3) [-10, 10, -5, 5]}

How do you graph y = -½ cosπ/3 xy = -½ cosπ/3 x?