Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 19: Mixed practice

Draw the graph of the function $y=\frac{5}{2}\sin \left(\frac{-x}{3}\right)$ showing at least two cycles. Be sure to clearly indicate the amplitude and period.

State the amplitude, frequency, and period of the given graph. Sketch the graph for $-360°\le x\le 360°$

$y=4\cos 3x$

State the amplitude, frequency, and period of each graph. Sketch the graph for $-360°\le x\le 360°$

$y=-\sin \left(0.5x\right)$

State the amplitude, frequency, and period of each graph. Sketch the graph for $-360°\le x\le 360°$

$y=0.5\sin 2x+3$

State the amplitude, frequency, and period of each graph. Sketch the graph for $-360°\le x\le 360°$

$y=3\cos 0.5x-1$

This graph is a result of a transformation on $y=\sin x$ or $y=\cos x$

Identify the transformation, and determine the function of the transformed graph.

Sketch the graph of the following, indicating the amplitude and period, and showing at least two cycles:

$y=\sin x+12$

Sketch the graph of the following, indicating the amplitude and period, and showing at least two cycles:

$y=\sin (-x)$