# Introduction to Transformations of Functions

### Learning Outcomes

By the end of this lesson, you will be able to:- Graph functions using vertical and horizontal shifts.
- Graph functions using reflections about the [latex]x[/latex] -axis and the [latex]y[/latex] -axis.
- Determine whether a function is even, odd, or neither from its graph.
- Graph functions using compressions and stretches.
- Combine transformations.

**Figure 1.**(credit: "Misko"/Flickr)

## Licenses & Attributions

### CC licensed content, Original

- Revision and Adaptation.
**Provided by:**Lumen Learning**License:**CC BY: Attribution.

### CC licensed content, Shared previously

- College Algebra.
**Provided by:**OpenStax**Authored by:**Abramson, Jay et al..**Located at:**https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites.**License:**CC BY: Attribution.**License terms:**Download for free at http://cnx.org/contents/[email protected].