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The graph represents the quadratic function \( y = x^2 - 2x - 3 \), and the task is to find the coordinates of points A, B, C, and D, which are labeled on the graph.

Let's identify each point based on the graph:

1. **Point A** is on the graph where it intersects the \( y \)-axis, which is the \( y \)-intercept. From the graph, this point is clearly located at \( (-1, 0) \).

2. **Point B** lies below the x-axis where the curve is at a negative value. From the graph, this point is approximately at \( (0, -3) \).

3. **Point C** is the lowest point of the parabola, known as the vertex. According to the graph, the vertex appears to be at \( (1, -4) \).

4. **Point D** is where the graph crosses the \( x \)-axis on the right side. From the graph, this point is at \( (3, 0) \).

### Coordinates of the points:
- \( A (-1, 0) \)
- \( B (0, -3) \)
- \( C (1, -4) \)
- \( D (3, 0) \)

Would you like further details or clarifications? Here are five related questions to deepen your understanding:

1. How do you determine the x-intercepts of a quadratic function algebraically?
2. What is the formula for finding the vertex of a parabola?
3. How does the discriminant of a quadratic function relate to its graph?
4. Can you factor the quadratic function \( y = x^2 - 2x - 3 \) to find the x-intercepts?
5. What is the significance of the symmetry in the graph of a quadratic function?

**Tip:** The vertex form of a quadratic function can be helpful when graphing parabolas or finding the minimum or maximum points.

This graph shows the quadratic function y = x^2 - 2x - 3. Write down the coordinates of points A, B, C, and D.

Learn how to find the coordinates of points on the graph of the quadratic function y = x^2 - 2x - 3. This problem covers algebraic concepts like the quadratic equation, graphing parabolas, and understanding x- and y-intercepts. Suitable for students in Grades 8-10.

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