Graph the parabola.

*y=*−3/2*x^*2

Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.



Here is the graph of the parabola \( y = -\frac{3}{2}x^2 \). The points marked on the graph are:

1. Vertex: \( (0, 0) \)
2. Point to the left: \( (-1, -1.5) \)
3. Point further to the left: \( (-2, -6) \)
4. Point to the right: \( (1, -1.5) \)
5. Point further to the right: \( (2, -6) \)

Do you have any questions or would you like more details?

Here are five related questions you might find interesting:
1. How does the coefficient of \( x^2 \) affect the shape of the parabola?
2. What happens to the graph if the equation is \( y = \frac{3}{2}x^2 \) instead?
3. How would you find the x-intercepts of this parabola?
4. What is the axis of symmetry for this parabola?
5. How can you determine the direction of the parabola's opening from its equation?

**Tip:** The vertex form of a parabola's equation can make it easier to identify the vertex directly.

Learn how to graph the parabola y = -3/2*x^2 with a detailed step-by-step guide. Includes plotting the vertex, points to the left, and points to the right of the vertex on the graph. Suitable for high school students studying quadratic equations and parabolas.

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