Module 3 Lesson 17: Introduction to Transformations

The basic function for absolute values is: 𝑓(𝑥) = 𝑎|𝑥 − ℎ| + 𝑘

Let’s look at the following equations: 𝑓(𝑥) = |𝑥|, 𝑦 = 𝑓(𝑥) − 3, 𝑎𝑛𝑑 𝑦 = 𝑓(𝑥) + 2

Now let’s try a new transformation: 𝑓(𝑥) = |𝑥|, 𝑦 = 2𝑓(𝑥), 𝑎𝑛𝑑 𝑦 =1

2𝑓(𝑥)

Class practice: Graph the following expressions.

Let’s write the equations of m(x) and n(x).