# What is the equation in standard form of the parabola with a focus at (-10,-47) and a directrix of y= -5?

##### 1 Answer

Oct 5, 2016

the vertex is V(-10, -26) and the axis is #x=-10 (downwards)..

#### Explanation:

Use

distance PS of P(x, y) on the parabola from its focus

= its perpendicular distance PN from the directrix

Squaring and equating,

the vertex is V(-10, -26) and the axis is #x=-10 (downwards).