Graphing Trig Functions
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Objective
I can graph trigonometric functions and identify key features such as amplitude and period.
Part 1 of 4
Warm-up video
Khan Academy · 9:55Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The amplitude of the function f(x) = 2sin(½x) is 2, which means the function oscillates between y = 2 and y = -2.
- 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.
- 3
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.
Part 3 of 4
Practice
8 questions
What is the amplitude of the function f(x) = 5sin(x)?
If the period of a trigonometric function is 6π, what is the coefficient of x in the function f(x) = sin(bx)?
Part 4 of 4
Exit ticket
Quick comprehension check
“The equation for a sine function is f(x) = A sin(Bx), where A is the amplitude and the period is 2π/B. For the function f(x) = 3 sin(½x), what is the amplitude and what is the period?”
Sample answer included in the free materials
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