When written in the form [math]f(x)=a\sin(b(x-c))+d[/math], the parameters [math]a[/math], [math]b[/math], [math]c[/math] and [math]d[/math] all have predictable effects on the graph of [math]y=f(x)[/math]. [list=1] [*]Explain how changing [math]a[/math] affects the graph. [*]Explain how changing [math]b[/math] affects the graph. [*]Explain how changing [math]c[/math] affects the graph. [*]Explain how changing [math]d[/math] affects the graph. [*]Are these effects the same for [math]g(x)=\cos x[/math]? [/list]