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Home > PC3 > Chapter 3 > Lesson 3.1.5 > Problem 3-82

3-82.

Write one equation in terms of sine and one equation in terms of cosine for the graph shown at right.  

Periodic curve, x axis scaled from negative 2 pi to 2 pi, with 4 visible turning points, at (negative 3 halves pi, comma negative 2), (negative 1 half pi, comma 4), (1 half pi, comma negative 2), & (3 halves pi, comma 4).

Where is the midline of the curve? This is the vertical shift of the function.

What is the amplitude?

What is the simplest horizontal shift for the sine?

What is the simplest horizontal shift for the cosine?