SOLUTION: find the standard form of the equation of the parabola with focus: (12,0) and directrix: x=-12

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the standard form of the equation of the parabola with focus: (12,0) and directrix: x=-12      Log On


   

Question 932349: find the standard form of the equation of the parabola with focus: (12,0) and directrix: x=-12
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Rely on the definition of parabola and use the Distance Formula, unless you already know the formula for a parabola already derived.

The directrix is the general point in your example, of (-12,y).

sqrt%28%28x-12%29%5E2%2B%28y-0%29%5E2%29=sqrt%28%28x-%28-12%29%29%5E2%2B%28y-y%29%5E2%29, which should make sense IF you understand the definition of a parabola. Simplify and put into whichever form you want.