Graphing Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a parabola?
Back
A parabola is a U-shaped curve that represents the graph of a quadratic function. It can open upwards or downwards depending on the coefficient of the squared term.
2.
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, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What does the coefficient 'a' in a quadratic equation indicate about the parabola?
Back
The coefficient 'a' determines the direction of the parabola's opening: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
4.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on its direction. It can be found using the formula (-b/2a, f(-b/2a)).
5.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a parabola?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/2a.
6.
FLASHCARD QUESTION
Front
How do you find the maximum or minimum value of a quadratic function?
Back
The maximum or minimum value occurs at the vertex of the parabola. For a downward-opening parabola, it's the y-coordinate of the vertex (maximum); for an upward-opening parabola, it's the y-coordinate of the vertex (minimum).
7.
FLASHCARD QUESTION
Front
What is the range of a parabola that opens upwards?
Back
The range of an upward-opening parabola is [k, ∞), where k is the y-coordinate of the vertex.
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