Here's the graph of the function \( y = x^2 - \frac{4}{3} \). The parabola opens upwards, with the vertex at \( (0, -\frac{4}{3}) \) (marked in green) and x-intercepts at \( \left(\frac{2\sqrt{3}}{3}, 0\right) \) and \( \left(-\frac{2\sqrt{3}}{3}, 0\right) \) (marked in red).

Do you have any questions or would you like more details about this graph?

Here are 5 related questions to explore:
1. How do you calculate the x-intercepts of a quadratic function?
2. What does the vertex of a parabola represent in real-world scenarios?
3. How does changing the constant term affect the graph of a quadratic function?
4. What are the properties of a parabola that opens upwards versus downwards?
5. How can you use the vertex form of a quadratic equation to graph it more easily?

**Tip:** When graphing quadratic functions, it's helpful to identify key points like the vertex and intercepts first to get an accurate shape.

Explore the graph of the quadratic function y = x^2 - 4/3. Learn about its vertex at (0, -4/3), x-intercepts at (2√3/3, 0) and (-2√3/3, 0), and how changing the constant term affects its shape. Ideal for high school students studying quadratic functions.

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