The graph above represents the function \( y = -3x^2 \), and the table below shows some sample points from the function:

|  \(x\)  |  \(y = -3x^2\)  |
|--------|-----------------|
| -10.0  |    -300.0       |
| -9.80  |    -288.00      |
| -9.60  |    -276.25      |
| -9.39  |    -264.74      |
| -9.19  |    -253.47      |
| -8.99  |    -242.45      |
| -8.79  |    -231.68      |
| -8.59  |    -221.15      |
| -8.38  |    -210.87      |
| -8.18  |    -200.83      |

Do you need further details or have any questions?

Here are five related questions for further practice:
1. How does changing the coefficient of \( x^2 \) affect the shape of the parabola?
2. What is the vertex of the parabola for \( y = -3x^2 \)?
3. Can you determine the axis of symmetry for this parabola?
4. How would the graph change if the equation was \( y = 3x^2 \)?
5. What happens to the value of \( y \) as \( x \) approaches infinity?

**Tip:** The coefficient of \( x^2 \) determines whether the parabola opens upwards (positive) or downwards (negative).

Explore how to graph the quadratic function y = -3x^2 and generate a table of values. This example demonstrates the key concepts of parabolas, including axis of symmetry and the impact of negative coefficients on the graph's direction. Ideal for students in Grades 9-11.

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