Module 1: Function Transformations

 

Functions of the form y = f(x − h) + k can be graphed quickly from y = f(x) using what you have learned so far about h and k. Watch Graphing with h and k to see an example of how to graph such a function.

 

 

This play button opens Graphing with h and k.



textbook
Self-Check 3
  1. Complete “Your Turn” from “Example 2” on page 9 of the textbook. Answer
  2. Complete questions 1.e., 3.c., 4.b., 15, and C1 on pages 12 to 15 of the textbook. Answer

You have explored how to determine characteristics of a graph from an equation; however, it is also possible to reverse this process and determine the equation of a graph if the graph of a similar function is known.



textbook

Read “Example 3” on pages 10 to 11 of the textbook to see this process.

 

 

Self-Check 4

 

Complete questions 5.c., 5.d., 6, 9, 11.b., and 12 on pages 13 and 14 of your textbook. Answer

 

tip
In question 9.b. you were asked for the domain of a function. The domain can be represented in various ways. One method is to use set builder notation: {x|x ≥ 3, x ∈ R}, which is often abbreviated to x ≥ 3, x ∈ R or even x ≥ 3. Another common method is to use interval notation: (3, ∞). Both of these methods can also be used to describe the range of a function.


glossary

Throughout this course you will add new terms to the document Glossary Terms. Save this file in your course folder now. For more information about how to complete Glossary Terms, refer to the document.

 

Add the following terms to your copy of Glossary Terms:


formula

You will also add new formulas to Formula Sheet. Save this file in your course folder now. For more information about how to complete Formula Sheet, refer to the document.

 

Add the formula y − k = f(x − h) to your copy of Formula Sheet.

 

Your copies of Glossary Terms and Formula Sheet will be great resources for you as you respond to activities and prepare for tests.