https://file.aiquickdraw.com/mathbot/file/172681061546017h4rocf.jpg

Here is the graph of the quadratic function \( f(x) = x^2 \), based on the values in the table:

- The graph is a **parabola** opening upwards.
- The points are symmetric about the y-axis, with the vertex at \( (0, 0) \).
- Key points plotted include \( (-4, 16) \), \( (-3, 9) \), \( (-2, 4) \), \( (-1, 1) \), \( (0, 0) \), \( (1, 1) \), \( (2, 4) \), \( (3, 9) \), and \( (4, 16) \).

Would you like any further details or explanations on this graph or the function?

Here are five related questions to explore:
1. What are the roots of the function \( f(x) = x^2 \)?
2. How do you determine the vertex of a quadratic function?
3. What does the symmetry of the parabola tell us about the function?
4. How does the graph of \( f(x) = x^2 + 3 \) compare to this one?
5. How does the graph change if the function is \( f(x) = -x^2 \)?

**Tip:** In quadratic functions, the vertex is the point of minimum or maximum value depending on whether the parabola opens upwards or downwards.

Complete la tabla de valores de abajo por f(x)=x^2.

Explore the quadratic function f(x) = x^2 by completing a table of values and plotting the corresponding graph. This exercise focuses on understanding the parabola's symmetry, vertex, and key points. Suitable for students in Grades 7-9.

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