Writing a Sinusoidal Equation Given Max and Min (Example 1)

Learn how to write the equation of sine and cosine graphs when you're given their maximum and minimum points! In this video, Mario's Math Tutoring guides you through the process of determining the amplitude, period, and vertical and horizontal shifts (phase shift) from just two points.

You'll discover:

How to sketch the graph to visualize the sinusoidal curve.
Calculating the period from the distance between a maximum and minimum.
Finding the amplitude using the max and min values.
Determining the vertical shift (midline) of the graph.
Identifying the horizontal shift for both sine and cosine equations.
We'll demonstrate how to write both the cosine and sine equations for the same graph, explaining the relationship between their phase shifts. This tutorial is perfect for trigonometry and pre-calculus students looking to master writing sinusoidal equations!

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