Graphing Trigonometric Functions: Amplitude, Period, Vertical and Horizontal Shifts
In this video, we dive into graphing trigonometric functions by finding the amplitude, period, and vertical and horizontal shifts. I break down the transformation of the cosine function by walking you through step-by-step how to identify each component in the equation. We explore how changes to the amplitude affect the height of the graph, how the period influences the frequency, and how vertical and horizontal shifts move the graph on the coordinate plane. By the end of the video, you’ll have a strong understanding of how to graph trigonometric functions by analyzing these key characteristics.
What You Will Learn
How to determine the amplitude of a trigonometric function.
Identifying the period of the cosine function and its effects on the graph.
How vertical and horizontal shifts change the graph’s position.
Step-by-step process to graph trigonometric functions using transformations.
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