Graphing y = 2sin(3x - π/2) + 1

Algebra 2 · Axiom Academy

Break down a transformed sine function into amplitude, period, phase shift, and vertical shift. Identify the amplitude, period, phase shift, and vertical shift of , and state which direction the phase shift moves the graph. Nice work — you broke a transformed sine function into its four defining pieces. Here's what to remember: Match the standard form first: before reading off any single transformation. Amplitude and period come straight from A and B : |A| and . Phase shift needs B factored out: rewrite Bx-C as before naming the shift. Result: amplitude 2 , period , phase shift right, vertical shift 1 up. This same four-step read — standard form, amplitude, period, then phase and vertical shift — works for any sinusoidal function you're asked to graph or describe.

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