Transformations of Functions

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•
Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function refers to the changes made to the graph of the function, including translations, reflections, stretches, and compressions.
2.
FLASHCARD QUESTION
Front
What does it mean to translate a function?
Back
Translating a function means shifting its graph horizontally or vertically without changing its shape.
3.
FLASHCARD QUESTION
Front
What is a vertical stretch of a function?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.
4.
FLASHCARD QUESTION
Front
What is a vertical compression of a function?
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.
5.
FLASHCARD QUESTION
Front
What does it mean to reflect a function over the x-axis?
Back
Reflecting a function over the x-axis means flipping the graph upside down, changing the sign of the output values.
6.
FLASHCARD QUESTION
Front
How does the function y = -2|x| transform from y = |x|?
Back
The function y = -2|x| is stretched vertically by a factor of 2 and reflected over the x-axis.
7.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a function?
Back
Adding a constant to a function translates the graph vertically. For example, f(x) + c shifts the graph up by c units.
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