Learn about horizontal and vertical reflections and how they occur in the graphs of functions when x is replaced with -x or y with -y in the equations of functions. Concepts are addressed three ways: graphically, numerically, and algebraically, ie. with graphs, points and tables, and equations.
See the rest of my videos covering other Function Transformations concepts:    • ★ Function Transformations [Chapter 1...  

Corresponds to chapter 1, section 1.2 in McGraw-Hill's Pre-Calculus 12, but also fits with the Function Transformations unit from almost any other Pre-Calculus course or textbook.

My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

A PDF copy of the 'Video Guide' document used in these videos as well as lots of other resources are available at https://drive.google.com/drive/folder...

#precalc12bytheaamg

00:00 Introduction
00:17 'Reflection' of a Function Visually
01:36 Example 1: Examine Reflections Numerically
04:53 Example 1b: Examine Reflections Graphically
08:42 Example 2: Determining the Equation of Reflected Graphs
11:18 'Invariant Point' Definition
14:05 Example 3: Combining Horizontal and Vertical Reflections
17:58 Example 4: Write the Equation of Reflected Functions (more 'complicated' function)
22:04 SUMMARY of Horizontal & Vertical Reflections
24:06 Wrap Up and End Screen