Parent Functions

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•
Mathematics
•
University
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear functions (f(x) = x), quadratic functions (f(x) = x²), and absolute value functions (f(x) = |x|).
2.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is f(x) = x². It is a parabola that opens upwards with its vertex at the origin (0,0).
3.
FLASHCARD QUESTION
Front
What is the parent function of an absolute value function?
Back
The parent function of an absolute value function is f(x) = |x|. It forms a V-shape graph with its vertex at the origin (0,0).
4.
FLASHCARD QUESTION
Front
What is the parent function of a linear function?
Back
The parent function of a linear function is f(x) = x. It represents a straight line that passes through the origin with a slope of 1.
5.
FLASHCARD QUESTION
Front
What is the parent function of a cubic function?
Back
The parent function of a cubic function is f(x) = x³. It has an S-shaped curve that passes through the origin.
6.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.
7.
FLASHCARD QUESTION
Front
How does the graph of f(x) = x² change when a > 1?
Back
When a > 1, the graph of f(x) = ax² becomes narrower, indicating that it opens more steeply.
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