Quadratic Formula and Completing the Square

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What is the Quadratic Formula?

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Front

What does it mean to complete the square?

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Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve.

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Why are quadratic equations set equal to zero?

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Because we are trying to find the x-intercepts and that happens when y=0.

Front

What is the standard form of a quadratic equation?

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Front

What is the discriminant in a quadratic equation?

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Front

What does a positive discriminant indicate?

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A positive discriminant indicates that the quadratic equation has two distinct real solutions.

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What does a zero discriminant indicate?

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A zero discriminant indicates that the quadratic equation has exactly one real solution (a repeated root).

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What does a negative discriminant indicate?

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A negative discriminant indicates that the quadratic equation has no real solutions (the solutions are complex).

Front

How do you find the vertex of a parabola given by a quadratic equation?

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Front

What is the vertex form of a quadratic equation?

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