CPM Homework Banner

Home > PC3 > Chapter 11 > Lesson 11.1.3 > Problem 11-45

11-45.

Write two equations that will generate each of the graphs below, one in terms of sine and one in terms of cosine.

  1. Periodic curve, x axis scaled from negative 1 half pi to 2 pi, with 5 visible turning points, first at (negative 1 fourth pi, comma 0), second at  (1 fourth pi, comma 4), passing through the point (0, comma 2).

    Using a sine function, the amplitude is , the period is π, there is no horizontal shift, and the vertical shift is .

  1. Periodic curve, x axis scaled from 0 to 8 pi, with 4 visible turning points, first at (3 halves pi, comma negative 3), second at (7 halves pi, comma 3).

    Using a sine function, it is vertically reflected with an amplitude of , a period of , a horizontal shift of , and no vertical shift.