Transformations - How to Write Equations

Struggling to write equations for transformed functions? This video is your essential guide! Join Mario's Math Tutoring as we tackle four multi-part examples, breaking down the process of writing new function equations after various transformations. In this comprehensive tutorial, you'll learn: The fundamental function notation for transformations (f(x) + k, f(x - h), -f(x), f(-x), af(x), f(bx)). How vertical shifts (up/down) and horizontal shifts (left/right) impact your equations. Understanding reflections over the x-axis and y-axis. Distinguishing between vertical stretches/shrinks and horizontal stretches/shrinks. The crucial importance of transformation order and how it changes your final equation. Step-by-step examples using parent functions like quadratic (x²) and square root (√x) to illustrate each concept. Whether you're in Precalculus, Algebra 2, or College Algebra, this video provides clear explanations and practical strategies to help you confidently write equations for transformed functions. Watch now to simplify complex concepts and improve your understanding! #TransformedFunctions #FunctionTransformations #WritingEquations #Precalculus #Algebra2 #CollegeAlgebra #MathTutorial #VerticalShift #HorizontalShift #Reflections #StretchesAndShrinks #MarioMathTutoring Timestamps: 00:00 Intro 03:09 Example 1 f(x)=x² vertical shrink by 1/2 then translate down 2. 06:52 Example 2 f(x)=√x horizontal stretch by 3 then shift right 1. 11:00 Example 3 f(x)=|x| reflected over x axis and shift up 4. 13:24 Example 4 f(x)=x³ reflection over y axis then shift left 5. Learn more about transformations in this playlist here: https://www.youtube.com/playlist?list=PLHRatQsym1_gPE-g3XpqukhtO8czyZ3X8 ➡️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