



 Menaechmus (380 BC  320 BC) found the parabola
 Apollonius (262 BC  190 BC) named the parabola
 Pappus (290  350) found the focus and directrix of the parabola
 Galileo (1564  1642) saw that objects falling due to gravity due so in parabolic
paths
 Gregory (1638 1675) studied properties of the parabola
 Newton (1638  1675) studied properties of the parabola
Definition:
A parabola is is a set of all points that are the same distance from a fixed line (directrix) and a fixed point (focus)not
on the directrix
Equation:
Standard Form when directrix is parallel to the yaxis:
(yk)² = 4p(xh)
Standard Form when directrix is parallel to the xaxis:
(xh)² = 4p(yk)
 When p is positive, the parabola opens upwards
 When p is negative, the parabola opens downwards
 When h is negative, it moves to the left of the orgin. When h is positive, it moves to the right of the orgin.
 When k is negative, it moves towards the bottom of the graph. When k is positive, it moves towards the top of the graph.



















