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Assume the following to answer this question.
Graph of the equation: y = 1.5 sin(x - 2π/3) + 3
The general form of a sine function is of the form:
y = a×sin(bx − c) + d,
here the amplitude is a,
the period is 2π/|b|,
the phase shift is c/b, and
the vertical shift is d.
From the given equation we have,
The amplitude, a = 1.5
The period, = 2π/|1| = 2π
The phase shift = (2π/3)/1 = 2π/3
And the vertical shift is d = 2
The given equation can be graphed using the amplitude, period, phase shift, vertical shift, and points.
Refer to the attached image(table) for the points to plot the graph.
Refer to the attached image(sine_graph) for the graph of this equation.
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