https://file.aiquickdraw.com/mathbot/file/172542168406068aibqmf.jpg

Here is the graph of the function \(f(x) = x^2 - 3\). 

### Key Features of the Graph:
- **Vertex**: The lowest point of the parabola is at \((0, -3)\).
- **Axis of Symmetry**: The graph is symmetric about the vertical line \(x = 0\).
- **Y-Intercept**: The point where the graph crosses the y-axis is \((0, -3)\).
- **X-Intercepts**: The points where the graph crosses the x-axis are approximately \((\sqrt{3}, 0)\) and \((- \sqrt{3}, 0)\).

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### Related Questions:
1. How do you find the vertex of a quadratic function?
2. What is the effect of the coefficient of \(x^2\) on the shape of a parabola?
3. How can we determine the x-intercepts of a quadratic function?
4. How does shifting the graph vertically affect its equation?
5. What does the axis of symmetry tell us about a quadratic function?

**Tip:** Understanding the shape and key points of quadratic functions can help you solve a variety of problems in algebra and calculus.

Learn how to graph the quadratic function f(x) = x^2 - 3, including key features such as the vertex, axis of symmetry, and intercepts. This problem covers fundamental concepts in algebra and is suitable for students in Grades 9-11.

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