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| Name | Writing the equation of a parabola given focus and directrix |
| Video Uploader | Video From Brian McLogan |
| Upload Date | This Video Uploaded At 23-02-2016 21:56:09 |
| Video Discription | Learn how to write the equation of a parabola given the focus and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall that the focus and the vertex of a parabola are on the same line of symmetry. When given the focus and the directrix of a parabola, recall that the vertex of a parabola is halfway between the focus and the directrix and the focus is inside the parabola. This enables us to identify the direction which the required parabola opens. We also need to identify the value of p, which is the distance between the vertex and the focus. p is negative when the parabola opens down or left and is positive when the parabola opens right or up. Once we identify the direction and the value of p, we can use the equation of parabola given by (y - k)^2 = 4p(x - h) for parabolas that opens up or down and (x - h)^2 = 4p(y - k) for parabolas that opens left or right. #conicsections #parabolaconicsections MpWP096ctic |
| Category | Education |
| Tags | math | maths | how to | learn | help me with math | parabola | conics | conic sections | ellipse | major axis | foci | focus | directrix | vertex | center | vertices | asymptotes | transverse axis | conic | section | write | plot | classify | Focus(2 -3) | Directrix x = 5 | given focus and directrix | Writing the equation of a parabola | Writing the equation of a parabola given focus and directrix | what are the steps for writing the equation of a parabola given its focus and directrix | vértice | parábola | writing the equation | how |
