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The question in the image is: "The graph of a parabola opens downwards, if _______."

The graph of a parabola opens downwards if the coefficient of the quadratic term (the \(x^2\) term) is negative. In general, a parabola is represented by the quadratic equation \(y = ax^2 + bx + c\). The parabola opens downwards if \(a < 0\).

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Here are 5 questions you might want to ask next:
1. What is the vertex form of a quadratic equation?
2. How do you determine the axis of symmetry of a parabola?
3. What is the difference between the focus and directrix of a parabola?
4. How do you find the vertex of a quadratic equation?
5. How can you determine if a quadratic function has a maximum or minimum value?

**Tip:** When working with quadratic equations, always check the sign of the leading coefficient to determine the direction of the parabola.

Explore the conditions under which a parabola opens downwards with a detailed explanation. This problem discusses the quadratic equation and its impact on the direction of the parabola. Suitable for high school students studying quadratic equations.

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