What is a quadratic inequality?
CPA2 - 3.6 Quadratic Inequalities

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic inequality is an inequality that involves a quadratic expression, typically in the form ax² + bx + c < 0, ax² + bx + c > 0, ax² + bx + c ≤ 0, or ax² + bx + c ≥ 0.
2.
FLASHCARD QUESTION
Front
How do you graph a quadratic inequality?
Back
To graph a quadratic inequality, first graph the corresponding quadratic equation as a boundary line. Then, determine which side of the parabola satisfies the inequality by testing a point.
3.
FLASHCARD QUESTION
Front
What does the symbol '>' indicate in a quadratic inequality?
Back
The symbol '>' indicates that the values of the quadratic expression are greater than the value on the other side of the inequality, meaning the region above the parabola is included.
4.
FLASHCARD QUESTION
Front
What does the symbol '≥' indicate in a quadratic inequality?
Back
The symbol '≥' indicates that the values of the quadratic expression are greater than or equal to the value on the other side, meaning the region above the parabola and the parabola itself are included.
5.
FLASHCARD QUESTION
Front
What does the symbol '<' indicate in a quadratic inequality?
Back
The symbol '<' indicates that the values of the quadratic expression are less than the value on the other side of the inequality, meaning the region below the parabola is included.
6.
FLASHCARD QUESTION
Front
What does the symbol '≤' indicate in a quadratic inequality?
Back
The symbol '≤' indicates that the values of the quadratic expression are less than or equal to the value on the other side, meaning the region below the parabola and the parabola itself are included.
7.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex of a quadratic function is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
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