Find the equation of the parabola that satisfies the given conditions:Vertex (0, 0); focus (3,0)

Explanation

To find the equation of the parabola with the given conditions (vertex at (0, 0) and focus at (3, 0)), we can follow these steps:

### Step 1: Identify the Vertex and Focus
The vertex of the parabola is given as \( (0, 0) \) and the focus is at \( (3, 0) \). Since the focus is located on the positive x-axis, we know that the parabola opens to the right.

### Step 2: Determine the Value of \( a \)
In the standard form of a parabola that opens to the right, the equation is given by:
\[
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