# What is the standard form of the equation of the parabola with a directrix at x=3 and a focus at (-5,-5)?

##### 1 Answer

Jun 2, 2018

**The equation of parabola is**

#### Explanation:

Focus is at

between focus and directrix. Therefore vertex is at

of vertex ,so, the horizontal parabola opens left. The equation of

horizontal parabola opening left is

between focus and vertex is

equation of horizontal parabola is

or

graph{(y+5)^2= -16(x+1) [-80, 80, -40, 40]} [Ans]