# How do you find an equation of a parabola given vertex (7,0) and focus (0,0)?

##### 1 Answer

Dec 19, 2017

#### Explanation:

As the vertex is

Directrix is perpendicular to axis of symmetry and hence its equation is of the type

Further as vertex is equidistant from focus and directrix and is also between the two, we must have directrix as

Now parabola is locus of a point, say

as distance of

and distance of

equation of parabola is

or

or

graph{(y^2+28x-196)(x^2+y^2-0.2)((x-7)^2+y^2-0.2)(x-14)=0 [-33.4, 46.6, -20.16, 19.84]}