How do you graph and list the amplitude, period, phase shift for $y = sin 2 x + 3$ $y=sin2x+3$ ?

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Answer 1 · 2018-05-06T13:34:21

As below.

$y = A sin (B x - C) + D for a sine function$ $y = A sin (Bx - C) + D " for a sine function"$

$Given : y = sin 2 x + 3$ $"Given : " y = sin 2x + 3$

$A m p l i t u d e = | A | = 1$ $Amplitude = |A| = 1$

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

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

$Vertical Shift = D = 3$ $"Vertical Shift " = D = 3$

graph{sin(2x )+ 3 [-10, 10, -5, 5]}

How do you graph and list the amplitude, period, phase shift for y=sin2x+3y=sin2x+3?