Quadratic Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
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 y = 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 (minimum value) or downwards (maximum value) 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 downwards or upwards.
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 maximum or minimum value of a quadratic function?
Back
The maximum or minimum value can be found at the vertex of the parabola, calculated using the vertex formula y = f(-b/(2a)).
6.
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.
7.
FLASHCARD QUESTION
Front
What is the factored form of a quadratic function?
Back
The factored form is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the roots of the equation.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
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