
Characteristics of Quadratic Functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph of the quadratic function crosses the x-axis. For example, in the function with x-intercepts at 0 and 4, these are the values of x when y=0.
Tags
CCSS.HSF-IF.C.7A
2.
FLASHCARD QUESTION
Front
Name the parent function of quadratic functions.
Back
The parent function of quadratic functions is the quadratic function itself, typically represented as f(x) = x².
3.
FLASHCARD QUESTION
Front
Using the graph of the quadratic function, how do you identify the vertex?
Back
The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. For example, in the vertex (4, -6), 4 is the x-coordinate and -6 is the y-coordinate.
4.
FLASHCARD QUESTION
Front
How many solutions can a quadratic function have?
Back
A quadratic function can have zero, one, or two solutions, depending on the number of times the graph intersects the x-axis.
5.
FLASHCARD QUESTION
Front
What is a parabola?
Back
A parabola is the U-shaped graph of a quadratic function, which can open upwards or downwards.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.
7.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function determine?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.
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