Quadratics Standard Form
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 the standard form of a quadratic function?
Back
y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What is the shape of the graph of a quadratic function called?
Back
A parabola.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What does the coefficient 'a' in the standard form of a quadratic function determine?
Back
The direction of the parabola (opens upwards if a > 0, downwards if a < 0).
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given in standard form?
Back
The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.
5.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
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 maximum or minimum value of a quadratic function?
Back
The maximum value occurs at the vertex if the parabola opens downwards; the minimum value occurs at the vertex if it opens upwards.
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.
Tags
CCSS.HSA-REI.B.4B
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