1) A parabola is ant point on a parabola that is at an equal distance from the focus and the vertex,
and the vertex and the directrix. Also, at any point on the parabola,
you can move it around the focus in a way that it creates a parabola
shape.
2) The focus affects the shape of the parabola in the way
that wherever the focus is, that is where the parabola will form around.
Also, p, which is the distance from the vertex and the focus and the
focus and the directrix, if it is positive or negative, the graph will
go either up, down, left, or right, depending on what term is squared.
3)
These properties affect real life with dishes that are like satellites
at a certain museum.One speaks in what is the focus and the sound waves
hit the dish at the right angle to travel to the other dish and hits
the focus for someone else to hear.
Conic Sections Image: http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/Gifs/parabola-2.gif
Website: http://www.mathwarehouse.com/quadratic/parabola/focus-and-directrix-of-parabola.php
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