How do Find Amplitude, Period, and Phase Shift?
For y = a·sin(b(x − c)) + d, the amplitude is |a|, the period is 2π/b, and the phase shift is c, a horizontal shift right when c is positive. Below: how to read each from an equation or a graph, and the factoring step students most often skip. You can determine the amplitude, period, […]
How to Find the Period of a Function: Rules and Examples
The period of a function is a positive horizontal shift that makes its values repeat. For a nonconstant sine or cosine rule \(y=A\sin(Bx+C)+D\) or \(y=A\cos(Bx+C)+D\), the fundamental period is \(2\pi/|B|\). For tangent and cotangent, use \(\pi/|B|\). These formulas assume radians and nonzero \(A\) and \(B\). On this page: Definition · Period formulas · Worked examples […]