Find the equation of the parabola with vertex at origin, symmetric with respect to y-axis and passing through `(2, -3)`

Explanation

To find the equation of the parabola with the given conditions, we will follow these steps:

### Step 1: Write the general equation of the parabola
Since the vertex of the parabola is at the origin (0,0) and it is symmetric with respect to the y-axis, the equation can be expressed as:
\[ x^2 = 4ay \]
where \(a\) is a constant that determines the distance from the vertex to the focus.
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