Find the solution of the equation x2 -2x -3 = 0 by graphing

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.

Find the solution of the equation x^2 - 2x - 3 = 0 by graphing.

Explore how to solve the quadratic equation x^2 - 2x - 3 by graphing. Learn how the parabola intersects the x-axis at x = -1 and x = 3. Understand key algebra concepts like the standard form of quadratic equations and graphical solutions, perfect for students in Grades 8-10.

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