# Parabolas

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Education

Published on March 9, 2014

Author: roneick

Source: slideshare.net

Algebra 2 - Warm up / Conic Review Directions: Graph each conic section 1. ( x  5) 2  y 2  25 2. 4 x 2  y 2  36 3. y2 x2  1 49 4

Parabolas

A parabola (in conic sections) is the set of all points that are equidistant from a fixed line called the directrix, and a fixed point not on the line, called the focus.

Equation of parabolas:

Find the equation of the parabola: Focus (0,0) Directrix: y = 6

Find the equation of the parabola: Vertex (0,0) Focus: (5,0)

Practice: Find the equation of the parabola Vertex: (4 , 2) Directrix: y = 5

Find the vertex, focus, directrix, and axis of symmetry: y 2  12 x  2 y  25  0

Another example Find the vertex, focus, directrix, and axis of symmetry: x2  8 y  4x  4  0

Practice: Find the vertex, focus, directrix, and axis of symmetry: x 2  10 x  16 y  7  0

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