# How do you graph two complete cycles of #y=1/2sint#?

##### 1 Answer

Please read the explanation.

#### Explanation:

Create a **data table** for the **Parent function**

Graph the **Parent function** as shown below:

Next, graph the function:

Now, we understand the behavior of the graph

by comparing it to the **parent graph**.

The question reads **draw two complete cycles**.

The **Period** of a trigonometric function is the **horizontal length** of **one complete cycle**.

The **Sine curve**, **Period** of

The **Sine curve**, **Period** of

We need to **restrict** or **place a constraint** using an appropriate condition as shown below:

Again, we can compare the **restricted graphs** of both the parent function and the given function for easy comprehension.

I hope it helps.