The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1
How to find the equation of a sine graph?
We know that the general formula for equation of a sine graph is;
y = A sin [(B(x - D)] + C
where;
A is Amplitude
Period = 2π/B.
Phase Shift = -C/B.
Vertical Shift = D.
From the graph;
A = 4
B = 2π/5π = 2/5
C = -1
D = -5/2
Thus;
y = 4 sin [(0.4(x + 2.5)] - 1
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