Unit 6, Lesson 18
Comparing Transformations
Integrated Math 3
Practice
Problem 1
Here is the graph of a trigonometric function.
Which equation has this graph? Select all that apply.
\(y=\frac{3}{2} \cos\left (2\pi x - \frac{\pi}{2}\right)\)
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Here is the graph of a trigonometric function.
Which equation has this graph? Select all that apply.
\(y=\frac{3}{2} \cos\left (2\pi x - \frac{\pi}{2}\right)\)
\(y=\text-\frac{3}{2}\sin(2\pi x)\)
\(y=\frac{3}{2}\cos(2\pi x)\)
\(y=\frac{3}{2} \cos\left (2\pi x + \frac{\pi}{2}\right)\)
\(y=\frac{3}{2} \sin(2\pi x + \pi)\)
Here is the graph of a trigonometric function.
Which equation has this graph?
\(y=\cos(x) + 1\)
\(y=\frac{1}{2}\cos(x) + 1\)
\(y=\frac{1}{2}\cos(\pi \boldcdot x) + 1\)
\(y=\frac{1}{2} \cos(2\pi \boldcdot x) + 1\)
Here is the graph of a trigonometric function.
Here are graphs of trigonometric functions \(f\) and \(g\). What transformations can be applied to the graph of \(f\) to get the graph of \(g\)? Make sure to list them in the order they are applied.