Transformation of Sine and Cosine GraphsVideos, worksheets, games and acivities to help Algebra 2 students learn how sine and cosine graphs are transformed.
Sine and Cosine Transformations : The coefficients A and B in y=Asin(Bx) or y=Acos(Bx) each have a different effect on the graph. If A and B are 1, both graphs have an amplitude of 1 and a period of 2pi. For sine and cosine transformations, when A is larger than 1, the amplitude increases and is equal to the value of A; if A is negative, the graph reflects over the x-axis. When B is greater than 1, the period decreases; use the formula 2pi/B to find the period.
More Transformations of Sine and Cosine : In the equation y=Asin(B(x-h)), A modifies the amplitude and B modifies the period; see sine and cosine transformations. The constant h does not change the amplitude or period (the shape) of the graph. It shifts the graph left (if h is negative) or right (if h is positive) and in the amount equal to h. The amount of horizontal shift is called the phase shift, which equals h.
Graphing Sine or Cosine Functions with Different Coefficients
Graphing Sine and Cosine Functions with Phase Shifts
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