What is the focus of the parabola? y=−1/4x2−x+3

 Focus = (-2, 3)

Step-by-step explanation:

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

Then finding the maximum by inputting x = -2 into the given equation:

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)