Find the equation of the parabola whose focus is `(-3,2)` and the directrix is `x+y=4.`

Explanation

To find the equation of the parabola with focus at \((-3, 2)\) and directrix given by the line \(x + y = 4\), we can follow these steps:

### Step 1: Understand the definition of a parabola
A parabola is defined as the set of all points \(P(x, y)\) that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

### Step 2: Identify the focus and directrix
- Focus \(S = (-3, 2)\)
- Directrix: \(x + y = 4\)
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