The graph of the quadratic equation $y = x^2 - 2x - 3$ shows that the parabola crosses the x-axis at $x = -1$ and $x = 3$. These are the solutions to the equation $x^2 - 2x - 3 = 0$.

Thus, the solutions are: $x = -1 \quad \text{and} \quad x = 3$

Would you like a detailed breakdown of how these points were found, or do you have any other questions?

Here are 5 related questions to explore:

1. How can you use factoring to solve $x^2 - 2x - 3 = 0$?
2. What is the significance of the vertex of a parabola?
3. How does the discriminant help in determining the number of solutions to a quadratic equation?
4. How can completing the square be used to solve quadratic equations?
5. How would the graph change if the equation were $x^2 + 2x - 3 = 0$?

Tip: The solutions to quadratic equations are the x-values where the parabola crosses the x-axis, also known as the roots or zeros of the function.