graph the quadratic equation f(x)=(x-1)^2

Here is the graph of the quadratic function \( f(x) = (x - 1)^2 \). The parabola has its vertex at \( (1, 0) \), and it opens upward.

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Here are five related questions you might find useful:
1. How do you find the vertex of a general quadratic function?
2. What is the significance of the axis of symmetry in a parabola?
3. How would the graph change if the function was \( f(x) = -(x - 1)^2 \)?
4. Can you determine the y-intercept algebraically?
5. How would this function shift if we added a constant to it, say \( f(x) = (x - 1)^2 + 3 \)?

**Tip**: The vertex form of a quadratic function makes it easy to identify shifts, direction, and the vertex of the parabola.

Learn how to graph the quadratic function f(x) = (x - 1)^2. This problem covers key algebra concepts such as identifying the vertex, axis of symmetry, and graphing parabolas. Suitable for students in Grades 9-10.

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