The graph of a parabola opens downwards if the coefficient of the x² term in the equation of the parabola is negative.

Here's the step by step explanation:

1. The general form of a parabolic equation is y = ax² + bx + c, where a, b, and c are constants.

2. The 'a' in the equation determines whether the parabola opens upwards or downwards.

3. If 'a' is positive, the parabola opens upwards.

4. If 'a' is negative, the parabola opens downwards.

So, the graph of a parabola opens downwards if the coefficient of the x² term (the 'a' in the equation) is negative.

Question

The graph of a parabola opens downwards if the coefficient of the x² term in the equation of the parabola is negative.

Here's the step by step explanation:

1. The general form of a parabolic equation is y = ax² + bx + c, where a, b, and c are constants.

2. The 'a' in the equation determines whether the parabola opens upwards or downwards.

3. If 'a' is positive, the parabola opens upwards.

4. If 'a' is negative, the parabola opens downwards.

So, the graph of a parabola opens downwards if the coefficient of the x² term (the 'a' in the equation) is negative.

Knowee AI · Accepted Answer

The graph of a parabola opens downwards if the coefficient of the x² term in the equation of the parabola is negative.

Here's the step by step explanation:

1. The general form of a parabolic equation is y = ax² + bx + c, where a, b, and c are constants.

2. The 'a' in the equation determines whether the parabola opens upwards or downwards.

3. If 'a' is positive, the parabola opens upwards.

4. If 'a' is negative, the parabola opens downwards.

So, the graph of a parabola opens downwards if the coefficient of the x² term (the 'a' in the equation) is negative.

The graph of parabola opens downwards, if _______