Graphing Quadratics

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Mathematics
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Hard
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1.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What are the zeros of a quadratic function?
Back
The zeros of a quadratic function are the values of x for which f(x) = 0. They can be found by factoring, using the quadratic formula, or completing the square.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
The y-intercept of a quadratic function f(x) = ax^2 + bx + c is found by evaluating f(0), which gives the point (0, c) on the graph.
Tags
CCSS.HSF-IF.C.7A
4.
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 whether it opens upwards or downwards. It can be found using the formula x = -b/(2a) for the x-coordinate.
5.
FLASHCARD QUESTION
Front
What does it mean for a quadratic to be in standard form?
Back
A quadratic is in standard form when it is expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.
6.
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).
7.
FLASHCARD QUESTION
Front
What is the difference between maximum and minimum values in quadratics?
Back
A maximum value occurs at the vertex of a downward-opening parabola, while a minimum value occurs at the vertex of an upward-opening parabola.
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