Here's the graph of the hyperbola \(\frac{y^2}{25} - \frac{(x-2)^2}{1} = 1\). 

### Key features:
- **Center**: \((2, 0)\)
- **Vertices**: \((2, 5)\) and \((2, -5)\)
- **Asymptotes**: The red dashed lines represent the asymptotes with slopes of \(y = 5(x-2)\) and \(y = -5(x-2)\).

Would you like more details or have any questions about the graph or hyperbolas?

Here are 5 related questions you might find useful:
1. What are the general properties of hyperbolas?
2. How are asymptotes related to hyperbolas?
3. How do horizontal and vertical hyperbolas differ in their equations?
4. How can you find the foci of this hyperbola?
5. What transformations occur if the center is not at the origin?

**Tip**: The distance between the center and the foci of a hyperbola is given by \(c = \sqrt{a^2 + b^2}\).

y²/25 - (x-2)²/1 = 1 graph this hyperbola

Learn how to graph the hyperbola y²/25 - (x-2)²/1 = 1 with detailed steps. This problem covers key algebraic concepts like the center, vertices, and asymptotes of hyperbolas. Discover how to find the foci and understand the properties of hyperbolas. Suitable for Grades 10-12.

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