What is a quadratic function?
Graphing Quadratic Functions

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic function is a polynomial function of degree 2, typically 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 are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph crosses the x-axis, found by solving the equation f(x) = 0.
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
The y-intercept is found by evaluating the function at x = 0, which gives the point (0, f(0)).
5.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation, and can be found using the formula x = -b/(2a) for the x-coordinate.
6.
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).
7.
FLASHCARD QUESTION
Front
How do you determine if a quadratic function opens upwards or downwards?
Back
If the coefficient 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
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