Characteristics of Quadratic Functions

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•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
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.
3.
FLASHCARD QUESTION
Front
What is a parabola?
Back
A parabola is the U-shaped graph of a quadratic function.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).
5.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function?
Back
The vertex can be found using the formula (h, k), where h = -b/(2a) and k = f(h).
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, found by evaluating f(0).
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens upwards?
Back
The range is [k, ∞) where k is the y-coordinate of the vertex.
Tags
CCSS.HSF-IF.C.7A
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