How do you graph $y = 3 cos (\frac{x}{2})$ $y=3cos(x/2)$ ?

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Answer 1 · 2018-07-18T02:40:29

As below.

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

$Given y = 3 cos (\frac{x}{2})$ $"Given " y = 3 cos (x/2)$

$A = 3, B = (\frac{1}{2}), C = D = 0$ $A = 3, B = (1/2), C = D = 0$

$A m p l i t u d e = | A | = 3$ $Amplitude " = |A| = 3$

$"Period ' = (2 pi) / |B| = (2 pi) / (1/2) = 4 pi$

$"Phase Shift " = -C / B = 0$

$"Vertical Shift " = D = 0$

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

How do you graph y=3cos(x/2)y=3cos(x2) y=3cos(x/2)?