Find the equation of the parabola whose focus is `(1,-1)` and whose vertex is `(2,1)`. Also find the axis and latusrectum.

Explanation

To find the equation of the parabola with a focus at (1, -1) and a vertex at (2, 1), we will follow these steps:

### Step 1: Determine the distance 'a'
The distance 'a' is the distance between the vertex and the focus. We can calculate it using the distance formula:

\[ a = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
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