Day 28-1A graphing quadratic inequalities

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What is a quadratic inequality?

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Front

How do you graph a quadratic inequality?

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To graph a quadratic inequality, first graph the corresponding quadratic equation as a boundary line. Then, determine which side of the parabola to shade based on the inequality sign (shaded for < or >, non-shaded for \leq or \geq).

Front

What does the vertex of a parabola represent in a quadratic inequality?

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The vertex of a parabola represents the maximum or minimum point of the quadratic function, which is crucial in determining the solution set of the inequality.

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What is the significance of the shaded area in a quadratic inequality graph?

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The shaded area represents all the solutions to the inequality, indicating where the quadratic expression is either less than or greater than zero.

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This inequality represents the region above or on the parabola that opens downwards with vertex at (-2, -4).

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This inequality represents the region below the parabola that opens upwards with vertex at (-4, 1).

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How can you determine if a point is a solution to a quadratic inequality?

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To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the axis of symmetry in a quadratic function?

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Front

What is the difference between strict and non-strict inequalities?

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Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (\leq, \geq) include the boundary line in the solution set.

Front

What is the standard form of a quadratic equation?

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