What is the vertex form of a quadratic function?
Algebra 2 - Final Review

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Mathematics
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10th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex form of a quadratic function is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you find the maximum or minimum value of a quadratic function?
Back
To find the maximum or minimum value of a quadratic function in the form y = ax² + bx + c, use the formula x = -b/(2a) to find the x-coordinate of the vertex, then substitute this value back into the function.
3.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function indicate about the graph?
Back
The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards (minimum point); if 'a' is negative, it opens downwards (maximum point).
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
5.
FLASHCARD QUESTION
Front
How do you solve a quadratic equation using the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a). It is used to find the roots of the equation ax² + bx + c = 0.
6.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation, and what does it tell you?
Back
The discriminant is the value b² - 4ac. It indicates the nature of the roots: if positive, there are two distinct real roots; if zero, there is one real root; if negative, there are two complex roots.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a quadratic function?
Back
The y-intercept of a quadratic function is the point where the graph intersects the y-axis, found by evaluating the function at x = 0.
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