Discriminant and Vertex Form Review

Front

What is the discriminant of a quadratic equation?

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Front

What does a positive discriminant indicate about the roots of a quadratic equation?

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

Front

What does a discriminant of zero indicate about the roots of a quadratic equation?

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A discriminant of zero indicates that the quadratic equation has exactly one real root, also known as a repeated or double root.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

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A negative discriminant indicates that the quadratic equation has two complex (non-real) roots.

Front

What is the vertex form of a quadratic function?

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Front

How can you convert from vertex form to standard form of a quadratic function?

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Front

What is the standard form of a quadratic function?

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Front

How do you find the vertex of a quadratic function in standard form?

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Front

What is the significance of the vertex in a quadratic function?

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The vertex represents the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

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