Graphing Parabolas in Intercept Form (3 Examples)

Learn how to graph parabolas when they are given in intercept form (also known as factored form) in this comprehensive tutorial! Mario's Math Tutoring explains how to easily find the x-intercepts, axis of symmetry, and vertex from the equation y = a(x - p)(x - q). We'll go through three detailed examples, including parabolas opening up and down, and discuss domain, range, increasing/decreasing intervals, and maximum/minimum values. In this video, you'll discover: 0:00 Introduction to Intercept Form of a Parabola 0:20 Understanding the Intercept Form: y = a(x - p)(x - q) 0:30 Finding X-Intercepts (p, 0) and (q, 0) 0:40 Determining if the Parabola Opens Up or Down (Based on 'a') 0:50 Finding the Axis of Symmetry (Average of X-Intercepts) 1:10 Example 1: Graphing y = 2(x - 1)(x - 3) 1:20 Finding X-Intercepts 1:40 Finding the Axis of Symmetry 2:00 Finding the Vertex (Plugging Axis of Symmetry into Equation) 2:40 Sketching the Parabola and Finding Additional Points (Y-intercept) 3:00 Analyzing Domain, Range, Minimum, Increasing/Decreasing Intervals 3:50 Example 2: Graphing y = -3(x - 2)(x + 2) 4:00 Finding X-Intercepts 4:30 Finding the Axis of Symmetry 4:50 Finding the Vertex 5:20 Analyzing Domain, Range, Maximum, Increasing/Decreasing Intervals 6:10 Example 3: Graphing y = 1/3(x + 1)(x + 5) 6:40 Finding X-Intercepts 7:10 Finding the Axis of Symmetry 7:40 Finding the Vertex 8:10 Sketching the Parabola and Finding Additional Points (Y-intercept) 8:30 Analyzing Domain, Range, Minimum, Increasing/Decreasing Intervals Master graphing parabolas in intercept form and gain a deeper understanding of quadratic functions! #GraphingParabolas #InterceptForm #QuadraticEquations #FactoredForm #Algebra2 #Precalculus #MathTutorial #MathHelp * 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