Discriminant and Vertex Form Review

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Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c. It is given by the formula D = b² - 4ac and determines the nature of the roots.
2.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate about the solutions of a quadratic equation?
Back
A positive discriminant indicates that the quadratic equation has two distinct real solutions.
3.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate about the solutions of a quadratic equation?
Back
A negative discriminant indicates that the quadratic equation has two complex (non-real) solutions.
4.
FLASHCARD QUESTION
Front
What does a discriminant of zero indicate about the solutions of a quadratic equation?
Back
A discriminant of zero indicates that the quadratic equation has exactly one real solution, also known as a repeated or double root.
5.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola in vertex form?
Back
In vertex form, y = a(x-h)² + k, the vertex of the parabola is the point (h, k).
6.
FLASHCARD QUESTION
Front
What is the vertex of the parabola given by the equation y = 2(x-3)² + 4?
Back
The vertex of the parabola is (3, 4).
7.
FLASHCARD QUESTION
Front
What is the leading coefficient in the quadratic equation y = ax² + bx + c?
Back
The leading coefficient is the coefficient 'a' in the quadratic equation, which determines the direction of the parabola's opening.
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