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Horizontal & Vertical Reflections of Functions • [1.2a] PRE-CALCULUS 12
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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.
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.
#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
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.
#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
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