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

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Answer 1 · 2018-06-07T02:10:40

As Below.

$y = (\frac{1}{2}) sec ((\frac{π}{2}) x)$ $y = (1/2) sec ((pi/2)x)$

Standard form is $y = A sec (B x - C) + D$ $color(red)(y = A sec (Bx - C) + D$

$A m p l i t u d e = | A | = NONE for secant function$ $Amplitude = |A| = color(red)("NONE") " for secant function"$

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

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

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

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

How do you graph y=12sec(πx2)y=1/2sec((pix)/2)?