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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

Conic Sections Part 3:Parabolas

Integrated Math 4

Mrs. Tyrpak

review from quadratics
Review from Quadratics

What do the following constants and coefficients tell us about each parabola?

standard form vertex
Standard Form  Vertex

Rewrite the following functions in vertex form:

secondary definition for parabolas
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
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
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
Applications: reflective properties
  • Headlight Reflectors:
  • Satellite receiving dishes
you know what i m going to say
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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