# How do I find the focus of the parabola with the equation #y=1/4x^2-3/2x+1/4#?

##### 1 Answer

You are in the simplest case of this kind of exercises, since you already have the parabola written in the form

The general rule says that, in this case, the coordinates of the focus are

where

Let's compute this out for your values: you have

So,

and

Thus,

The focus of your parabola has thus coordinates

This is the graph of your parabola, you'll see that the result we got is quite reasonable

graph{x^2/4-3x/2+1/4 [-10, 10, -5, 5]}