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Animation of the Sine curve:. http://www.wku.edu/~tom.richmond/Sine.html. Animation of the Cosine curve:. http://www.wku.edu/~tom.richmond/Cosine.html. Phase Shift. - PowerPoint PPT Presentation


  • http://www.wku.edu/~tom.richmond/Cosine.html

    Animation of the Cosine curve:http://www.wku.edu/~tom.richmond/Sine.html

    Animation of the Sine curve:

  • Phase Shift

  • In this case,

  • Midline:Since h = -5, the graph will shift down 5 units. The midline of the graph is y = -5.The amplitude is 2, so the graph will stretch vertically.

  • The midline is the equation:4Graph it.The amplitude is:Use dashed lines to mark max & minsThe period is:y = -6k = This is the graph before the horizontal (phase) shiftThe phase shift is:C is positive; shift to left.

  • Example 412.4

  • Solve for k (criss-cross)Divide both sides by Use the phase shift to solve for cUse the period to solve for K BEFORE you can find c(replace k with 2 & criss-cross)

  • First, calculate the cos x, then add it to x for your y values to graph.1At this point, freehand the curve along y = x

  • HW: Page 383