How do you graph $y = \frac{3}{2} cos (\frac{1}{2} π x)$ $y=3/2cos(1/2pix)$ ?

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Answer 1 · 2018-05-04T09:49:46

As below.

$y = A cos (B x - C) + D$ $y = A cos (Bx - C) + D$ is the standard form

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

$A m p l i t u d e = | A | = \frac{3}{2}$ $Amplitude = |A| = 3/2$

$Period = \frac{2 π}{| B |} = \frac{2 π}{\frac{π}{2}} = 4$ $"Period " = (2pi) / |B| = (2pi) / (pi/2) = 4$

$Phase Shift = - \frac{C}{B} = 0$ $"Phase Shift " = -C / B = 0$

$Vertical Shift = D = 0$ $"Vertical Shift " = D = 0$

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

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