## Math III - Conics

##### Created by:

MamaMath  on September 27, 2010

##### Description:

Formulas and definitions needed for Unit II on conic sections

Math 3 Fall 2011

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# Math III - Conics

 ParabolaThe set of points equidistant from a fixed point and a line
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#### Definitions

Parabola The set of points equidistant from a fixed point and a line
Axis of Symmetry The line perpendicular to the parabola's directrix and passing through its focus
Vertex The point on the parabola that lines on the axis of symmetry
Equation of a parabola that opens up or down and has its vertex at (0,0) x^2 = 4py
Equation of a parabola that opens left or right and has its vertex at (0,0) y^2 = 4px
The Focus of a parabola that opens up or down(0, p)
The Focus of a parabola that opens left or right(p,0)
The directrix of a parabola that opens up or down y = -p
The directrix of a parabola that opens left or right x = -p
Axis of symmetry of a parabola that opens up or down Vertical (x = 0)
Axis of symmetry of a parabola that opens left or right Horizontal (y = 0)
When trying to find the equation of a parabola what should you first try to find p
What has to be on the side by itself before you can calculate the value of p? Which ever variable is squared
The parabola -4y^2 = x opens in which direction? left
The general form of the equation of a circle that is centered at (0,0) is x^2 + y^2 = r^2
What is the equation of a circle that has a radius of 8 and is centered at the origin? x^2 + y^2 = 64

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