What is a parent function?
Parent Function Transformations

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Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 (y = x), quadratic functions (y = x²), and absolute value functions (y = |x|).
2.
FLASHCARD QUESTION
Front
What transformation occurs when a function is translated up?
Back
When a function is translated up, the y-values of the function increase by a certain amount. For example, the function y = f(x) becomes y = f(x) + k, where k is a positive number.
3.
FLASHCARD QUESTION
Front
What transformation occurs when a function is translated down?
Back
When a function is translated down, the y-values of the function decrease by a certain amount. For example, the function y = f(x) becomes y = f(x) - k, where k is a positive number.
4.
FLASHCARD QUESTION
Front
What transformation occurs when a function is translated left?
Back
When a function is translated left, the x-values of the function decrease by a certain amount. For example, the function y = f(x) becomes y = f(x + k), where k is a positive number.
5.
FLASHCARD QUESTION
Front
What transformation occurs when a function is translated right?
Back
When a function is translated right, the x-values of the function increase by a certain amount. For example, the function y = f(x) becomes y = f(x - k), where k is a positive number.
6.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on a function?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1. For example, the function y = f(x) becomes y = a * f(x), where a > 1.
7.
FLASHCARD QUESTION
Front
What is the effect of a vertical compression on a function?
Back
A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1. For example, the function y = f(x) becomes y = a * f(x), where 0 < a < 1.
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