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Finding the equation of a sine curve from the graph. How to find each value…. a is the amplitude. (Max – Min) / 2 b is found by 2π / Period c is the horizontal translation of the curve. It is normally easiest to find this value last by substitution
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How to find each value… • a is the amplitude. (Max – Min) / 2 • b is found by 2π / Period • c is the horizontal translation of the curve. It is normally easiest to find this value last by substitution • d is the same as the value of the principle axis; (Max + Min) / 2
Example 1 6 Amplitude =(Max – Min) /2 = (13 – 7) / 2 = 3 b a c d
Example 1 6 b = 2π / Period = 2π / (7 – 1) = π / 3 b c d
Example 1 c = horizontal translation = 1 c d
Example 1 d= vertical translation = 10 d
