Learn about horizontal and vertical translations and how they occur in the graphs of functions when x is replaced with x+h or y with y+k 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 1.1 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
00:19 Definition of 'Transformation'
00:41 Definition of 'Translation'
01:11 Example 1: Examine Vertical Translations Numerically and Graphically
06:39 Example 2: Examine Horizontal Translations Numerically and Graphically
12:06 Example 3: Determining the Equation of Translated Graphs
14:25 Example 4: Combining Horizontal and Vertical Translations
16:41 Example 5: Write the Equation of a Translated Function (More 'complicated' function)
20:18 SUMMARY of Horizontal & Vertical Translations
22:01 Wrap Up and End Screen