(a) Give the geometric definition of a parabola.
(b) Give the equation of a parabola with the vertex at the origin and with vertical axis. Where is the focus? What is the directrix?
(c) Graph the equation
The geometric definition of a parabola.
A parabola is the set of points in the plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix). The geometric representation of the parabola is shown below.
Here, is the focus, is the directrix
The equation of a parabola with the vertex at the origin and with a vertical axis. Also, find the focus and the directrix of the parabola.
The graph of the equation .
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