Transformations of Functions
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function is an operation that alters the graph of the function in some way, such as shifting, reflecting, stretching, or compressing.
2.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function type, from which other functions in the same family can be derived through transformations.
3.
FLASHCARD QUESTION
Front
What does it mean to translate a function?
Back
To translate a function means to shift its graph horizontally and/or vertically without changing its shape.
4.
FLASHCARD QUESTION
Front
What is a vertical stretch?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.
5.
FLASHCARD QUESTION
Front
What is a vertical compression?
Back
A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.
6.
FLASHCARD QUESTION
Front
How do you reflect a function in the x-axis?
Back
To reflect a function in the x-axis, you multiply the output values by -1, changing the sign of the function.
7.
FLASHCARD QUESTION
Front
What is the effect of shifting a function left or right?
Back
Shifting a function left or right involves adding or subtracting a value from the input variable (x) in the function's equation.
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