Write the equation of the parabola with focus (0,0) and directrix `x+y-4=0.`

Explanation

To find the equation of the parabola with focus at (0,0) and directrix given by the line \(x + y - 4 = 0\), we will follow these steps:

### Step 1: Understand the properties of the parabola
The definition of a parabola states that for any point \(P(h, k)\) on the parabola, the distance from \(P\) to the focus is equal to the distance from \(P\) to the directrix.

### Step 2: Write the equation for the distance to the directrix
The distance \(P_m\) from the point \(P(h, k)\) to the directrix \(x + y - 4 = 0\) can be calculated using the formula for the distance from a point to a line:
\[
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