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Write Equation of a Parabola Given Vertex and Directrix

Unlock the secrets of parabolas in this comprehensive lesson! We'll define what a parabola is as the set of all points equidistant from a focus and a directrix, and explore its key components: the vertex, and the distance 'P'. Learn to distinguish between x² and y² parabola equations and understand how the sign of 'P' determines if the parabola opens up, down, right, or left. Watch as we work through an example, given the vertex and directrix, to write the equation of a parabola and accurately graph it. Perfect for students looking to master conic sections and graph parabolas with confidence! Timestamps: 00:00 Intro 0:10 What is a Parabola 0:53 Equation of a Parabola 1:03 How to Know if the Parabola Opens Up, Down, Right or Left 1:16 How to Write the Parabola Equation in a More General Form Showing the Horizontal and Vertical Shifts 2:31 Write and Graph the Equation of a Parabola with Vertex(4,-2) and Directrix y=2 3:12 How Wide to Draw the Parabola Related Videos: How to Graph Parabolas and Write the Equation    • How to Graph Parabolas and Write the Equation   Parabola Equation Given Focus and Directrix    • Equation of Parabola Given Focus and Direc...   Parabola Equation Given Focus and Vertex    • Finding Equation of Parabola Given Focus a...   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) http://www.mariosmathtutoring.com/fre... ➡️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)    / @mariosmathtutoring