      Parabola Project History of the Parabola    Home Introduction History Real Life Uses The Conic Sections  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 y-axis: (y-k)² = 4p(x-h) Standard Form when directrix is parallel to the x-axis: (x-h)² = 4p(y-k) 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.   When P is negative When P is positive The affects of K The affects of H   