# What is the equation in standard form of the parabola with a focus at (1,4) and a directrix of y= 3?

##### 1 Answer

Jun 1, 2018

**The equation of parabola is**

#### Explanation:

Focus is at

between focus and directrix. Therefore vertex is at

or at

So the equation of parabola is

vertex from directrix is

below the vertex , so parabola opens upward and

graph{0.5(x-1)^2+3.5 [-20, 20, -10, 10]} [Ans]