Parent Function Graphs
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is f(x) = x².
2.
FLASHCARD QUESTION
Front
What is the general shape of the graph of a quadratic function?
Back
The graph of a quadratic function is a parabola that opens upwards or downwards.
Tags
CCSS.HSF-IF.C.7A
3.
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.
4.
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 x = -b/(2a) for the function f(x) = ax² + bx + c.
5.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function affect?
Back
The 'a' value affects the width and direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.
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.
7.
FLASHCARD QUESTION
Front
What is the difference between linear and quadratic functions?
Back
Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.
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