Quadratic Formula

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What is the Quadratic Formula?

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Front

What do the terms a, b, and c represent in a quadratic equation?

Back

Front

How do you determine the number of real solutions from the discriminant?

Back

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What is the vertex of a parabola represented by a quadratic equation?

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What is the axis of symmetry in a quadratic function?

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Front

How do you convert a quadratic equation from standard form to vertex form?

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What is the significance of the roots of a quadratic equation?

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The roots (or solutions) of a quadratic equation are the x-values where the graph intersects the x-axis. They represent the values of x for which the equation equals zero.

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

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If a quadratic equation has no real solutions, it means that the graph of the equation does not intersect the x-axis, which occurs when the discriminant is less than zero (D < 0).