Free functions and graphing calculator - analyze and graph line equations and functions step-by-step. Derivatives Derivative Applications Limits Integrals Integral Applications Riemann Sum Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series.Parent Function Transformed Function Y sin x Y cosx y asin — h) + k y a cos b(x — h) + k a amplitude (vertical stretch or shrink) b = period (when x is in radians and b > 0) h = phase shift, or horizontal shift / k vertical shift (y k is the midline) ) Got It? 3. Use the graph at the right of the parent function y = cos x.

When we graph functions, we often say to graph the function on an interval. We use interval notation to describe the interval. Interval notation has the form , which means the interval begins at a and ends at b. In the example, the notation has the same meaning as .

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