Quadratics Forms and Parabolas Key Features
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the point where the parabola changes direction. It is the highest or lowest point of the parabola, depending on its orientation.
2.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for a parabola?
Back
The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by the formula x = -b/(2a). This line divides the parabola into two mirror-image halves.
3.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation is given by y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is given by y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
5.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic equation indicate?
Back
The 'a' value in a quadratic equation determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).
6.
FLASHCARD QUESTION
Front
What is the significance of the 'h' and 'k' values in vertex form?
Back
In the vertex form y = a(x - h)^2 + k, 'h' represents the x-coordinate of the vertex, and 'k' represents the y-coordinate of the vertex.
7.
FLASHCARD QUESTION
Front
How can you convert from vertex form to standard form?
Back
To convert from vertex form y = a(x - h)^2 + k to standard form y = ax^2 + bx + c, expand the equation and simplify.
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