Mastering Graphing Square Root And Cube Root Functions: 2 Must-See Examples

Master graphing square root and cube root functions, including their transformations, with this in-depth tutorial from Mario's Math Tutoring! Learn how to effectively use a table of key points for the parent functions y = √x and y = ³√x. We'll break down how vertical stretches/shrinks, reflections over the x-axis, and horizontal and vertical shifts impact the graph. Follow along with two detailed examples, including tips on the order of transformations and how to determine the domain and range for each function. Perfect for algebra students looking to confidently graph radical functions! Timestamps: 0:00 - Introduction to Graphing Square Root and Cube Root Functions 0:25 - Graphing Square Root Functions: Parent Function Table (y = √x) 0:45 - Understanding Transformations: Vertical Stretch/Shrink, Reflection, Horizontal/Vertical Shifts 1:45 - Example 1: Graphing y = 2√(x-1) + 2 2:00 - Applying Vertical Stretch to Y-values 2:30 - Applying Horizontal Shift to X-values 2:50 - Applying Vertical Shift to Y-values 3:05 - Order of Transformations for Graphing 3:45 - Plotting the Square Root Function 4:25 - Domain and Range of Square Root Functions 5:05 - Graphing Cube Root Functions: Parent Function Table (y = ³√x) 5:50 - Example 2: Graphing y = -1/2 ³√(x+3) - 1 6:15 - Applying Reflection and Vertical Shrink to Y-values 7:00 - Applying Horizontal Shift to X-values 7:30 - Applying Vertical Shift to Y-values 8:00 - Plotting the Cube Root Function 9:00 - Domain and Range of Cube Root Functions 9:40 - Conclusion and More Practice * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/free-math-videos.html ➡️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, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join