
### Instruction: help me answer this question Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0); focus (3, 0), think step by step
### Assistant: The vertex of the parabola is (0, 0), and the focus lies on the positive x-axis. The equation of the parabola is of the form y^2 = 4ax. Since the focus is (3, 0), a = 3. , The answer is y^2 = 12x.
