Conic Sections Part 3: Parabolas

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# Conic Sections Part 3: Parabolas - PowerPoint PPT Presentation

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

Integrated Math 4

Mrs. Tyrpak

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

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

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?

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?

Applications: reflective properties
• Satellite receiving dishes
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 