Quadratic Features
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the graph of a quadratic function look like?
Back
The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point on the graph of a quadratic function, depending on whether it opens upwards (minimum) or downwards (maximum).
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in standard form?
Back
The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.
5.
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 equation x = -b/(2a).
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c.
7.
FLASHCARD QUESTION
Front
What is the difference between maximum and minimum in quadratic functions?
Back
A maximum occurs at the vertex of a downward-opening parabola, while a minimum occurs at the vertex of an upward-opening parabola.
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