Review Transformations of Functions

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•
Mathematics
•
12th 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.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What does it mean to translate a function left or right?
Back
Translating a function left or right involves shifting the graph horizontally. A positive value shifts it left, while a negative value shifts it right.
3.
FLASHCARD QUESTION
Front
What does it mean to translate a function up or down?
Back
Translating a function up or down involves shifting the graph vertically. A positive value shifts it up, while a negative value shifts it down.
4.
FLASHCARD QUESTION
Front
What is the parent function of absolute value?
Back
The parent function of absolute value is f(x) = |x|, which creates a V-shaped graph.
5.
FLASHCARD QUESTION
Front
How does the equation y = |x + 4| + 7 transform the parent function?
Back
This equation translates the parent function left 4 units and up 7 units.
6.
FLASHCARD QUESTION
Front
What is the effect of the coefficient in front of the absolute value function?
Back
The coefficient affects the vertical stretch or compression of the graph. A value greater than 1 stretches it, while a value between 0 and 1 compresses it.
7.
FLASHCARD QUESTION
Front
What transformation does g(x) = |x - 2| + 4 represent?
Back
This function is shifted right 2 units and up 4 units from the parent function.
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