Vertex Form of a QUADRATIC Function REVIEW

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function in vertex form?
Back
The vertex of a quadratic function in vertex form, given by the equation f(x) = a(x-h)² + k, is the point (h, k).
2.
FLASHCARD QUESTION
Front
What does the 'a' value in the vertex form of a quadratic function indicate?
Back
The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function in vertex form?
Back
To find the y-intercept, set x = 0 in the vertex form equation f(x) = a(x-h)² + k and solve for f(0).
4.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens upwards?
Back
The range of a quadratic function that opens upwards is [k, ∞), where (h, k) is the vertex.
5.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens downwards?
Back
The range of a quadratic function that opens downwards is (-∞, k], where (h, k) is the vertex.
6.
FLASHCARD QUESTION
Front
How do you determine if the vertex is a maximum or minimum?
Back
If the parabola opens upwards (a > 0), the vertex is a minimum. If it opens downwards (a < 0), the vertex is a maximum.
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c.
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