Horizontal & Vertical Translations of Functions • [1.1] PRE-CALCULUS 12 скачать в хорошем качестве

Horizontal & Vertical Translations of Functions • [1.1] PRE-CALCULUS 12

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] Pre...   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