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Here is the graph of the equation \( y = -\frac{3}{4}(x+3)(x+7) \). The parabola opens downwards, and the roots are at \( x = -3 \) and \( x = -7 \).

Would you like more details or have any questions?

Here are some questions you might consider asking:
1. How do you find the vertex of this new parabola?
2. Can you explain how the coefficient \(-\frac{3}{4}\) affects the graph's shape?
3. What is the axis of symmetry for this parabola?
4. How do you derive the vertex form of a quadratic equation from the factored form?
5. Can you show the steps to solve for the roots algebraically?

**Tip:** When comparing different quadratic equations, observe how changes in coefficients and constants impact the graph's shape and position.

Explore the graph of y = -3/4(x+3)(x+7), a downward-opening parabola with roots at x = -3 and x = -7. Learn about its vertex, axis of symmetry, and the impact of coefficients on its shape. Suitable for high school students studying quadratic equations.

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