Chapter 8, Problem 4CR

To determine

To graph: The function $y=3\sin \left(\pi x\right)$

Explanation of Solution

Given information:

The function $y=3\sin \left(\pi x\right)$

Graph:

To get the graph of $y=3\sin \left(\pi x\right)$ perform the transformations as follows:

Step 1: Begin with the graph of the base function $y=\sin x$.

Step 2: Horizontally, compress the graph of $y=\sin x$ by $\frac{1}{\pi }$ units to get graph of $y=\sin \left(\pi x\right)$

Step 3: Vertically, stretch the graph of $y=\sin \left(\pi x\right)$ by factor $3$ units to graph the function $y=3\sin \left(\pi x\right)$.

Interpretation:

The graph represents function of $y=3\sin \left(\pi x\right)$