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Home > PC3 > Chapter Ch8 > Lesson 8.3.3 > Problem 8-118

8-118.

Write an equation for each graph below.  

  1. Periodic curve, x axis scaled from negative pi to pi, with 4 visible turning points at (negative pi, comma negative 1), (negative 1 half pi, comma 3), (0, comma negative 1), (1 half pi, comma 3), & (pi, comma negative 1).

  1. Periodic curve, x axis scaled from negative 2 to 6, with 3 visible turning points at (negative 1.5, comma 0), (1.5, comma 10),  & (4.5, comma 0), passing through the point (0, comma 5).

Sketch upper boundary, lower boundary, and midlines for each graph to help determine the amplitude and vertical shift.

Determine the horizontal distance between consecutive minimum points to determine the period.
Decide if you are going to write a sine or cosine function, then pick a locator point to determine the horizontal shift.