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Think about riding a bike and pumping the pedals at a constant rate of one revolution each second.

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:

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Think about riding a bike and pumping the pedals at a constant rate of one revolution each second.

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  1. 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?

  2. 13-7Translating Trigonometric Functions Today’s Objective: I can write and graph a trigonometric functions.

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

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

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

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

  7. 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

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

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