How do you graph #y = -½ cosπ/3 x#?

Question

1531 views around the world

You can reuse this answer
Creative Commons License

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]}