Graphing Trig Functions
Learning Objective
I can graph trigonometric functions and identify key features such as amplitude and period.
Key Concepts
The amplitude of the function f(x) = 2sin(½x) is 2, which means the function oscillates between y = 2 and y = -2.
The general form of a sine function is f(x) = A sin((2π/P)x), where A is the amplitude and P is the period.
Given the graph of a trigonometric function, the period can be determined by measuring the horizontal distance it takes for the function to complete one cycle, and the amplitude is how much it swings in the positive or negative direction.
Practice Questions
This lesson includes 8 practice questions to reinforce learning.
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1. What is the amplitude of the function f(x) = 5sin(x)?
2. If the period of a trigonometric function is 6π, what is the coefficient of x in the function f(x) = sin(bx)?
3. The graph of a sine function has a maximum at y = 3 and a minimum at y = -3. What is the amplitude of this sine function?
...and 5 more questions
Educational Video
Graphing trig functions
Khan Academy