Here is the graph of the quadratic function \( y = x^2 - 2x + 5 \). You can see that it forms a parabola opening upwards, as expected for a quadratic equation where the coefficient of \( x^2 \) is positive.

Would you like further details or have any questions about this function?

Here are five related questions to explore:
1. How do you find the vertex of the parabola for this function?
2. What is the axis of symmetry of this quadratic function?
3. How would the graph change if the constant term (5) were different?
4. What are the x-intercepts (if any) of this function?
5. How does completing the square help in analyzing this quadratic function?

**Tip:** The vertex form of a quadratic function makes it easier to determine the vertex and transformations of the graph.

Explore how to graph the quadratic function y = x^2 - 2x + 5, including identifying the vertex, axis of symmetry, and transformations. This lesson covers key algebraic concepts suitable for students in Grades 8-10.

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