Graphs of Trigonometric Functions
These videos show how to find the properties of a trigonometric function including amplitude, period, phase shift, and vertical shift, and then either graph a trigonometric function or write a trigonometric function for a graph.
Exercises
1.
2.
3.
Amplitude: \(2\)
Period: \(\dfrac{2\pi}{3}\)
Phase Shift: \(\dfrac{3\pi}{4}\)
Vertical Shift: \(-5\)
Period: \(\dfrac{2\pi}{3}\)
Phase Shift: \(\dfrac{3\pi}{4}\)
Vertical Shift: \(-5\)
4.
\(y = 3 \cos\left(2x+\dfrac{\pi}{2}\right)\)