Graphing Parabolas Easily (All Types)

Complete guide to learning how to graph parabolas in the standard form, general form, vertex form, intercept form and focus/directrix form in this free math video tutorial by Mario's Math Tutoring. Timestamps: 00:00 Intro 0:13 4 Different Parabola Equation Forms Covered in this Video 0:42 General Form of the Parabola y=ax^2 + bx + c 0:46 Example 1 Graphing y= -3x^2 + 6x + 1 0:54 Formula for Finding Vertex of Parabola in y=ax^2 + bx + c Form 2:14 How to Find and Draw the Axis of Symmetry 2:33 How to Find Additional Points on the Parabola 3:10 Identifying and Using the Parent Function to Graph Points 4:40 How to Identify Whether the Parabola Opens Up or Down 4:51 Example 2 Graphing y=2x^2+8x+6 6:46 How to Identify Whether the Graph has a Max or Min Value 7:02 Equation of the Axis of Symmetry 7:10 How to Identify the Domain and Range of the Graph 7:50 Intercept Form of the Parabola (Factored Form) 8:06 How to Find the X-Intercepts 8:13 Example 1 Graph y=-1(x-3)(x-5) 9:01 How to Find the Axis of Symmetry and x-Coordinate of Vertex 9:15 Formula for Finding the Axis of Symmetry and x-Coordinate 11:25 Example 2 Graph y=2(x+2)(x-2) 13:38 Finding Domain and Range 13:53 Vertex Form of the Parabola y=a(x-h)^2 + k 14:37 Example 1 Graph y=-3(x-1)^2 + 6 16:24 Example 2 Graph y=4(x-2)^2 - 5 17:47 x^2=4py or y^2=4px or (x-h)^2=4p(y-k) or y^2=4p(x-h) 18:52 Discussing the Focus and Directrix and Parabola Definition 19:41 Example 1 Graph x^2=12y 19:52 Finding the "p" value or Distance From Vertex to Focus 20:00 Identifying the Vertex 20:09 How to Know if the Parabola Opens Up, Down, Left or Right 21:03 Using the Focal Chord 4p to Find Width of the Parabola 21:59 Example 2 Graph y^2=16x 23:59 Example 3 Graph (x-2)^2=4(y+1) Related Videos: Graphing Parabolas in General Form y=ax^2 +bx + c https://youtu.be/gZqwjG0-Dnc Graphing Parabolas in Intercept Form y=a(x-p)(x-q) https://youtu.be/8AdUjJO4tZM Graphing Parabolas in Vertex Form y=a(x-h)^2 + k https://youtu.be/TxPDQfWeAUg Graphing Parabolas in Focus/Directrix Form x^2=4py or y^2=4px https://youtu.be/900WmsiXYJg * 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, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join