Here's the graph of the parabola \( (x - 3)^2 = 2(y - 0) \). The vertex is at \((3, 0)\), the focus is at \((3, 0.5)\), and the directrix is the line \( y = -0.5 \). 

The parabola opens upwards, and the graph shows all key elements clearly.

Would you like more details or have any further questions?

### Relative Questions:
1. How does the distance between the vertex and focus affect the shape of the parabola?
2. What happens to the directrix if the parabola opens downwards?
3. How can you determine the direction in which the parabola opens from its equation?
4. How does changing the value of \( p \) affect the width of the parabola?
5. What are the applications of parabolas in real-world scenarios?

### Tip:
Always check the sign and position of \( p \) in the equation to determine the orientation and position of the focus and directrix accurately.

Explore how to graph the parabola (x - 3)^2 = 2(y - 0) in the Cartesian plane. Understand the vertex, focus, and directrix of the parabola, with detailed illustrations and explanations. Ideal for high school students and anyone interested in understanding parabolic curves.

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