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Graph Absolute Value Functions (Transformations Explained!)

4.4K views· 90 likes· 14:19· Oct 26, 2025

Master absolute value functions with this comprehensive guide to transformations! Learn how to graph absolute value equations by understanding horizontal stretches, shrinks, and shifts. This video walks you through five detailed examples, breaking down each transformation step-by-step. Discover the 'reverse PEMDAS' approach for transformations grouped with 'x' and how to handle reflections and vertical adjustments. Perfect for students looking to accurately graph absolute value functions and understand their domain and range! Timestamps: 0:00:00 Introduction to Absolute Value Function Transformations 0:00:14 Example 1: y = |2x - 4| (Horizontal Shift and Shrink) 0:03:32 Example 2: y = 3|1/2x + 1| (Horizontal Shift and Stretch, Vertical Stretch) 0:06:44 Example 3: y = |-x + 2| + 1 (Horizontal Shift, Reflection over Y-axis, Vertical Shift) 0:08:39 Example 4: y = -|1/3x| - 2 (Horizontal Stretch, Reflection over X-axis, Vertical Shift) 0:11:30 Example 5: y = 1/2|-x + 1| + 3 (Reflection over Y-axis, Horizontal Shift, Vertical Shrink, Vertical Shift) ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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