graph it and tell me its opening of the parabola

Here is the graph of the parabola defined by the equation \((x - 3)^2 = 2y\). 

### Key features:
- **Vertex**: Located at \((3, 0)\).
- **Focus**: Located at \((3, 0.5)\).
- **Directrix**: The horizontal line at \(y = -0.5\).

### Opening Direction:
- The parabola opens **upward** since the \(y\) values increase as \(x\) moves away from the vertex.

Let me know if you have any questions or need further details!

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Here are some related questions you might find useful:

1. What happens to the parabola if the equation is modified to \((x - 3)^2 = -2y\)?
2. How do you find the equation of a parabola given its focus and directrix?
3. Can you determine the length of the latus rectum from this equation?
4. What is the relationship between the vertex form of a quadratic function and the standard form of a parabola?
5. How does the directrix influence the orientation and shape of the parabola?

**Tip:** Understanding how the sign and magnitude of \(p\) (the distance between the vertex and the focus or directrix) affect the parabola's shape is crucial for graphing and interpreting conic sections.

Explore how to graph and interpret the parabola defined by the equation (x - 3)^2 = 2y. Understand its key features such as vertex, focus, and directrix. Learn why the parabola opens upward and how to analyze its shape. Ideal for high school students studying conic sections.

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