What is a quadratic function?
Graphing Quadratic Functions

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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = 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 or downwards depending on the sign of the coefficient 'a'.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on whether it opens downwards or upwards.
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in standard form?
Back
The vertex can be found using the formula x = -b/(2a) and then substituting this x-value back into the function to find the y-coordinate.
5.
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 equation x = -b/(2a).
6.
FLASHCARD QUESTION
Front
What are x-intercepts?
Back
X-intercepts are the points where the graph of a function crosses the x-axis, which occur when f(x) = 0.
7.
FLASHCARD QUESTION
Front
What is another name for x-intercepts?
Back
Zeros.
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