Solve Quadratics by Graphing

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What is a quadratic equation?

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The solutions are x = -5 or x = -7.

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What is another term for the zeroes of a quadratic function?

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The zeroes of a quadratic function are also called x-intercepts.

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What is the discriminant of a quadratic equation?

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The parabola has 1 zero (a double root).

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What does it mean if the discriminant is positive?

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If the discriminant is positive, the quadratic equation has two distinct real roots.

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What does it mean if the discriminant is zero?

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If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

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What does it mean if the discriminant is negative?

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If the discriminant is negative, the quadratic equation has no real roots (the roots are complex).

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