Quadratics Domain and Range
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the range of a quadratic function?
Back
The range of a quadratic function is the set of all possible output values (y-values) that the function can produce. For a parabola that opens upwards, the range is from the vertex's y-value to infinity. For example, if the vertex is at (0, -1), the range is y ≥ -1.
2.
FLASHCARD QUESTION
Front
What is the domain of a quadratic function?
Back
The domain of a quadratic function is the set of all possible input values (x-values) that can be used in the function. For quadratic functions, the domain is usually all real numbers.
3.
FLASHCARD QUESTION
Front
What does the vertex of a parabola represent?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It represents the maximum or minimum value of the function.
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
To find the y-intercept of a quadratic function, set x = 0 and solve for y. The y-intercept is the point where the graph crosses the y-axis.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What is an x-intercept?
Back
An x-intercept is a point where the graph of a function crosses the x-axis. To find x-intercepts, set y = 0 and solve for x.
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. It passes through the vertex and can be found using the formula x = -b/(2a) for a quadratic in the form ax^2 + bx + c.
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
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