Think about riding a bike and pumping the pedals at a constant rate of one revolution each second. How does the graph of the height of one of your feet compare with the graph of a sine function?

13-7 Translating Trigonometric Functions Today’s Objective: I can write and graph a trigonometric functions.

Translating Functions Horizontal Vertical Phase Shift Translate h units horizontally Translate k units vertically Midline: y = k h

Family of Trigonometric Functions Parent Functions Transformed Function Amplitude: Vertical stretch or shrink Period: sin & cos Phase shift: Horizontal shift Vertical shift : y = k is midline One asymptote Period: tan

Graph each function on interval from 0 to 2π Amplitude: Graphing: 1.Sketch in Midline (y = k) 2.Graph beginning point with phase shift. 3.Graph remaining four points. Phase Shift: Midline: Period:

Graph each function on interval from 0 to 2π Amplitude: Graphing: 1.Sketch in Midline (y = k) 2.Graph beginning point with phase shift. 3.Graph remaining four points. Phase Shift: Midline: Period:

Write a sine and cosine function for the graph. p. 880: 22-25, 27, 28, 31, 33, 44, 45 Ch. Test Review p. 897: 1, 3-14, 17, 18, 25-30, 32

Graph each function on interval from 0 to 2π Amplitude: Graphing: 1.Sketch in Midline (y = k) 2.Graph beginning point with phase shift. 3.Graph remaining four points. Phase Shift: Midline: Period: