Quadratic Solutions

Front

What is a quadratic equation?

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Front

What are the zeros of a quadratic function?

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The zeros of a quadratic function are the values of x that make the function equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

Front

How do you determine the number of solutions for a quadratic equation?

Back

Front

What does it mean if a quadratic equation has no real solutions?

Back

If a quadratic equation has no real solutions, it means that the graph of the quadratic function does not intersect the x-axis, which occurs when the discriminant is negative.

Front

How can you find the roots of a quadratic equation graphically?

Back

The roots of a quadratic equation can be found by identifying the x-intercepts of its graph. These are the points where the graph crosses the x-axis.

Front

What is the vertex of a quadratic function?

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Front

What is the axis of symmetry in a quadratic function?

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Front

What is the significance of the leading coefficient in a quadratic function?

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The leading coefficient (a) determines the direction of the parabola: if a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

How do you solve a quadratic equation by factoring?

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