## Calculus 8th Edition

(a) A parabola is the set of all points that are equidistant from the directrix and the focus. Also, it is the set of all points in a plane such that the distance from a line called the directrix and the distance from a fixed point called focus are equal. (b) Equation of a parabola with focus $(0,p)$ and directrix $y= -p$ is: $$x^{2} = 4py$$ When the focus is $(p,0)$, then the equation will be: $$y^{2} = 4px$$
(a) A parabola is the set of all points that are equidistant from the directrix and the focus. Also,it is the set of all points in a plane such that the distance from a line called the directrix and the distance from a fixed point called focus are equal. (b) Equation of a parabola with focus $(0,p)$ and directrix $y= -p$ is: $$x^{2} = 4py$$ When the focus is $(p,0)$, then the equation will be: $$y^{2} = 4px$$