SOLUTION: Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7). My answer: Vertex: (0, 0); Focus: (1/40, 0) ; Directrix: x = -1/40 ;

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7). My answer: Vertex: (0, 0); Focus: (1/40, 0) ; Directrix: x = -1/40 ;      Log On


   

Question 982036: Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).
My answer:
Vertex: (0, 0); Focus: (1/40, 0) ; Directrix: x = -1/40 ; Focal width: 0.1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Recheck the descriptive definition of a parabola which includes the reference to the Distance Formula.

Standard Form Equation for a parabola would be a format y=a%28x-h%29%5E2%2Bk. Derive the parabola equation first in a different form according to the use of the Distance Formula.



This is how you could start:
sqrt%28%28x-0%29%5E2%2B%28y-%28-7%29%29%5E2%29=sqrt%28%28x-x%29%5E2%2B%28y-7%29%5E2%29;
do the algebraic steps and make the adjustments.