Here is the graph of the parabola \((y - 6.5)^2 = -10(x - 5)\). The graph includes:

- The **parabola** itself, opening to the left.
- The **vertex** at \((5, 6.5)\) marked with a red dot.
- The **directrix** \(x = 7.5\) represented by the green dashed line.
- The **focus** at \((2.5, 6.5)\) marked with a blue dot.
- The **axis of symmetry** \(y = 6.5\) shown by the purple dashed line.

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

Here are five related questions:
1. How would the graph change if the value of \( p \) were positive?
2. What happens to the parabola if the directrix is moved closer to the vertex?
3. How do you find the length of the latus rectum of this parabola?
4. Can you graph a parabola that opens vertically instead of horizontally?
5. How does the equation change if the vertex is at a different point?

**Tip:** When graphing a parabola, identifying the vertex, focus, and directrix first makes it easier to understand the shape and orientation of the curve.

Explore the graph of the parabola (y - 6.5)^2 = -10(x - 5). This detailed graph includes the parabola itself opening to the left, the vertex at (5, 6.5) marked with a red dot, the directrix x = 7.5 represented by a green dashed line, the focus at (2.5, 6.5) marked with a blue dot, and the axis of symmetry y = 6.5 shown by a purple dashed line. Learn about the properties and characteristics of this parabola.

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