What is a quadratic equation?
Graphing Quadratic Equations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.
4.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for a parabola?
Back
The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation in standard form.
5.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens upwards?
Back
The range is all real numbers greater than or equal to the y-coordinate of the vertex.
6.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens downwards?
Back
The range is all real numbers less than or equal to the y-coordinate of the vertex.
7.
FLASHCARD QUESTION
Front
How do you determine the x-intercepts of a quadratic function?
Back
The x-intercepts can be found by solving the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.
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