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Home > PC3 > Chapter Ch7 > Lesson 7.2.1 > Problem 7-79

7-79.

Write an equation for each graph below.  

  1. Periodic curve, x axis scaled from negative 2 pi to 2 pi, with 7 visible turning points, first at (negative 3 halves pi, comma negative 4), Second at ( negative pi, comma 2), with y intercept at the point (0, comma 2).

    This looks like a cosine curve with a period of that has been stretched and shifted vertically.

    To determine the vertical shift, sketch the midline.
    The amplitude can be determined by figuring out how far above the midline the maximum points are located.

  1. Periodic curve, x axis scaled from negative 4 pi to 4 pi, with 4 visible turning points, first @ (negative 3 pi, comma negative 2), second @ (negative pi, comma 2), with x intercepts @negative 4 pi, negative 2 pi, 0, 2 pi, & 4pi.

    This looks like a sine curve with a period of , an amplitude of , and is vertically reflected.

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