Here is the graph of the parabola \( y = x^2 \). 

Would you like any details or have any questions? Here are some related questions to explore:

1. What is the vertex of the parabola \( y = x^2 \)?
2. How does the graph of \( y = x^2 \) change if you add a constant, like \( y = x^2 + 3 \)?
3. What is the axis of symmetry for the parabola \( y = x^2 \)?
4. How do you find the x-intercepts of the parabola \( y = x^2 \)?
5. What happens to the graph of \( y = x^2 \) if you multiply \( x^2 \) by a negative number?
6. How do you determine if a parabola opens upwards or downwards?
7. What is the focus of the parabola \( y = x^2 \)?
8. How do you graph \( y = (x - 2)^2 \)?

**Tip:** The vertex form of a parabola's equation, \( y = a(x - h)^2 + k \), can quickly tell you the vertex \((h, k)\) and the direction it opens (upward if \(a > 0\), downward if \(a < 0\)).

Explore how to graph the parabola y = x^2 with detailed steps and examples. Understand the vertex form of a parabola, axis of symmetry, and transformations. Suitable for high school students.

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