Key Features of Quadratics
Flashcard
•
Mathematics
•
7th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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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) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the vertex of a quadratic function represent?
Back
The vertex of a quadratic function represents the maximum or minimum point of the graph, depending on the direction of the parabola.
3.
FLASHCARD QUESTION
Front
How do you find the maximum height of a projectile modeled by a quadratic function?
Back
The maximum height can be found by determining the vertex of the quadratic function, which occurs at x = -b/(2a). The y-value at this x-coordinate gives the maximum height.
4.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x = 0.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What does the term 'increasing interval' refer to in the context of a quadratic function?
Back
The increasing interval refers to the range of x-values over which the function's output (y-value) is increasing, typically found to the left of the vertex for a parabola that opens upwards.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
What does the term 'decreasing interval' refer to in the context of a quadratic function?
Back
The decreasing interval refers to the range of x-values over which the function's output (y-value) is decreasing, typically found to the right of the vertex for a parabola that opens upwards.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
How can you determine the minimum value of a quadratic function?
Back
The minimum value can be determined by finding the vertex of the quadratic function, which gives the lowest point on the graph for a parabola that opens upwards.
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