Find the equation of the parabola whose focus is the point `(0,0)` and the directrix is the straight line `3x-4y+3=0.`

Explanation

To find the equation of the parabola with focus at the point (0,0) and directrix given by the line \(3x - 4y + 3 = 0\), we can follow these steps:

### Step 1: Identify the focus and directrix
The focus of the parabola is given as \(F(0,0)\). The directrix is the line \(3x - 4y + 3 = 0\).

### Step 2: Write the equation for the parabola
The definition of a parabola states that it is the set of points \(P(x, y)\) such that the distance from \(P\) to the focus is equal to the distance from \(P\) to the directrix.

...