In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2. <br /> It can be defined as the locus of points whose distances are in a fixed ratio to some point, called a focus, and some line, called a directrix.<br />
Parabola: A = 0 or C = 0<br />Circle: A = C<br />Ellipse: A = B, but both have the same sign <br />Hyperbola: A and C have Different signs<br />
The Parabola<br />The parabolais a set of points which are equidistant from a fixed point (the focus) and the fixed line (the directrix).<br />
PROPERTIES<br />The line through the focus perpendicular to the directrix is called the axis of symmetry or simply the axis of the curve.<br />The point where the axis intersects the curve is the vertex of the parabola. The vertex (denoted by V) is a point midway between the focus and directrix.<br />
<ul><li>The undirected distance from V to F is a positive number denoted by |a|.
The line through F perpendicular to the axis is called the latus rectum whose length is |4a|. The endpoints are 𝑳𝟏and𝑳𝟐. This determines how the wide the parabola opens.
The line parallel to the latus rectum is called the directrix.</li></ul> <br />