Varsity Jacket

Michael has to order his varsity school jacket for the upcoming awards ceremony.

The company that the school has chosen offers the jacket for $220 plus $2 per letter for the name patch stitched onto the back of the jacket. The company has a special offer for early bird orders so that the cost of the jacket is $190, and the cost of each letter is $2.50.

Reflection Questions

• How can we compare the different ordering options for the jacket?
• What would the functions look like that represent each option?
• How would the graphs of the two functions compare?

In the next section, we will look at transformations of linear equations to help us answer that question.

Transformations of Linear Equations

Let’s look at some transformations of linear equations using a virtual manipulative.

Reflection Questions

Notice that the graph is shown with the linear parent function f(x) = x. To the right is the menu that will allow you to navigate through the five different transformations.

• The first activity is Adding a Constant.
• The second activity is Adding a Constant to the Input of a Function.
• The third activity is Adding a Constant to a Function or its Input.
• The fourth activity is Multiplying by a Constant.
• The fifth activity is Multiplying by a Negative Constant.

As you explore each of the activities, answer the questions using the link below.

Practice Transformations of Linear Equations

A translation is a transformation that moves each point the same distance in the same direction.

Click the link below to complete the activity.