Vertex (0,0), passing through (5,2) and symmetric with respect to y-axis

Explanation

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

### Step 1: Identify the Standard Form of the Parabola
Since the parabola is symmetric with respect to the y-axis and has its vertex at (0,0), we can use the standard form of the equation of a parabola that opens upwards:
\[ x^2 = 4ay \]
Here, \( a \) is the distance from the vertex to the focus.

### Step 2: Substitute the Point (5, 2)
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