Quadratic Inequalities

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What is a quadratic inequality?

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How do you solve a quadratic inequality?

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To solve a quadratic inequality, first find the roots of the corresponding quadratic equation. Then, test intervals between the roots to determine where the inequality holds true.

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

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The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It represents the maximum or minimum value of the function.

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The graph is a parabola that opens upwards, shifted left by 3 units and down by 3 units. The region above the parabola represents the solution to the inequality.

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What is the role of the discriminant in quadratic inequalities?

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What does it mean if a quadratic inequality has no solution?

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