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Home > PC > Chapter 6 > Lesson 6.4.1 > Problem 6-141


Find a cosine function that has a maximum at and a minimum at .

Vertical shift: Since the minimum point is at and the amplitude is , the vertical shift would be their sum.

Horizontal shift: Since the maximum point is at a cosine function has been shifted units right.

Since a maximum is at and a minimum is at , half of a cycle is units. Hence, the period is .
Use the formula to calculate .