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Parabola Conversions (the last and final conic section, SADNESS!!!! Control your tears please.)

Parabola Conversions (the last and final conic section, SADNESS!!!! Control your tears please.). What is the directrix and the foci? How do I convert to standard form in order to graph the parabola?. Parabolas outside!. Definition of a Parabola.

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Parabola Conversions (the last and final conic section, SADNESS!!!! Control your tears please.)

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  1. Parabola Conversions (the last and final conic section, SADNESS!!!! Control your tears please.) What is the directrix and the foci? How do I convert to standard form in order to graph the parabola?

  2. Parabolas outside!

  3. Definition of a Parabola • A Parabola is the locus (or set) of points in a plane that are equidistant from a fixed point, called the focus, and a fixed line called the directrix

  4. Parabolas open right, left, up, and down Opening up! Opening down! Opening left! Opening right!

  5. Example Vertex (3, -2) Set 4=4p…p=1 Focus (3,-1) Directrix y=-3

  6. How do we convert to standard form? • Who wants to guess? Yup! By completing the square!

  7. Converting to standard form example. We are going to transform this into the form (y-k)²=4p(x-h) 1)Isolate the variable that is squared(in this case it is the y’s) 2)Complete the square and add 9 to both sides 3)Write the left side as a perfect square 4)Factor out the number in front of the x on the right side. Then Graph!!!!!

  8. Can you find the conics?

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