Graphing Parabolas in Standard Form (3 Examples)

Learn how to graph parabolas in standard form (y = ax² + bx + c) with this comprehensive tutorial from Mario's Math Tutoring! This video is your complete guide to understanding and plotting quadratic functions, making graphing parabolas simple and straightforward. We'll walk you through three detailed examples, covering everything from finding the axis of symmetry (x = -b/2a) and the vertex to plotting additional points and understanding the parabola's opening direction (up or down). Discover how the 'a' value influences the shape and whether the parabola has a maximum or minimum point. We'll also touch on domain, range, and y-intercepts. Perfect for algebra students looking to master quadratic graphs! Timestamps: 0:00 Introduction to Graphing Parabolas in Standard Form 0:20 Understanding Standard Form (y = ax² + bx + c) 0:35 The Axis of Symmetry Formula (x = -b/2a) 0:50 Example 1: Graphing y = 2x² - 8x + 5 1:05 Finding the Axis of Symmetry 1:40 Finding the Vertex (x and y coordinates) 2:25 Plotting Points and Using Symmetry 3:00 Identifying the Y-intercept from Standard Form 3:45 Understanding the 'a' Value and Parabola Shape 4:30 Example 2: Graphing y = -x² - 6x - 4 4:45 Finding Axis of Symmetry and Vertex 5:40 Parabola Opening Direction (Positive vs. Negative 'a') 6:40 Plotting Additional Points and Y-intercept 7:45 Domain and Range of a Parabola (Maximum/Minimum Values) 8:55 Example 3: Graphing y = (1/2)x² - 4x + 1 9:10 Finding Axis of Symmetry and Vertex 10:10 Plotting Points and Y-intercept 11:15 Summarizing Key Features (Axis, Min/Max, Domain, Range) 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/fr... ➡️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)    / @mariosmathtutoring