# What is the vertex form of the equation of the parabola with a focus at (29,37) and a directrix of #y=34 #?

##### 2 Answers

**The vertex form of equation is**

#### Explanation:

Focus is at

between focus and directrix. Therefore vertex is at

parabola is

below the vertex , so parabola opens upward and

graph{1/6(x-29)^2+35.5 [-160, 160, -80, 80]} [Ans]

#### Explanation:

The vertex of parabola having focus at

Now, the equation of vertical parabola with vertex at

The equation of directrix of above parabola:

But equation of directrx is given

setting value of