This interactive figure displays the graphs of the functions [math]f\left(x\right)=a\cdot\sin\left(\frac{2\pi}{b}\left(x-c\right)\right)+d[/math] and [math]g\left(x\right)=a\cdot\cos\left(\frac{2\pi}{b}\left(x-c\right)\right)+d[/math]. [br]These functions are [i]periodic[/i]. In the interactive figure, you can change parameters [math]a[/math], [math]b[/math], [math]c[/math], and [math]d[/math]. See if you can identify the effect that each parameter has on the shape of the graph. Can you reason out why it has that effect?[br]

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i][br][br][br]