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Home > PC3 > Chapter 9 > Lesson 9.1.3 > Problem 9-56

9-56.

Write a possible equation for the graph at right.

Sketch the midline and maximum and minimum boundary lines.
From those, you can determine the vertical shift and amplitude.

Use a sine function so that there is no horizontal shift.
You also need to determine the period.

Periodic curve, x axis scaled from negative pi to pi, with 4 visible turning points at (negative 3 fourths pi, comma negative 1), (negative 1 fourth pi, comma negative 5), (1 fourth pi, comma negative 1), & (3 fourths pi, comma negative 5), & y intercept at (0, comma negative 3).