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Conic Sections Part 3: Parabolas

Conic Sections Part 3: Parabolas. Integrated Math 4 Mrs. Tyrpak. Review from Quadratics. What do the following constants and coefficients tell us about each parabola?. Standard Form  Vertex. Rewrite the following functions in vertex form:. Secondary Definition for Parabolas.

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Conic Sections Part 3: Parabolas

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  1. Conic Sections Part 3:Parabolas Integrated Math 4 Mrs. Tyrpak

  2. Review from Quadratics What do the following constants and coefficients tell us about each parabola?

  3. Standard Form  Vertex Rewrite the following functions in vertex form:

  4. Secondary Definition for Parabolas A set of points in a plane such that each point on the parabola is equidistant from a fixed line and a fixed point that is not on that line. Focus Directrix

  5. Find the equation of a parabola with focus F(0,c) and directrix y = -c Where is the vertex located? For what values of c is the vertex a maximum point? A minimum point?

  6. Find the equation of a parabola with focus F(c,0) and directrix x = -c Is this equation a function? Where is the vertex located?

  7. List similarities and differences Between

  8. Applications: reflective properties • Headlight Reflectors: • Satellite receiving dishes

  9. You know what I’m going to say! Awesome job!! Don’t forget to complete your extension and enrichment worksheets before you move on. Remember you are a mathematician 

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