Transformation of Absolute Value Functions

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an absolute value function?
Back
An absolute value function is a function that contains an algebraic expression within absolute value symbols, denoted as f(x) = |x|, which outputs the non-negative value of x.
2.
FLASHCARD QUESTION
Front
What does a vertical stretch of a function do?
Back
A vertical stretch multiplies the output of the function by a factor greater than 1, making the graph taller.
3.
FLASHCARD QUESTION
Front
What is the effect of a horizontal shift to the left on a function?
Back
A horizontal shift to the left moves the graph of the function to the left by the specified number of units.
4.
FLASHCARD QUESTION
Front
What is the effect of a vertical shift down on a function?
Back
A vertical shift down moves the graph of the function down by the specified number of units.
5.
FLASHCARD QUESTION
Front
How do you write the absolute value function after a vertical stretch of 2 and a horizontal shift left 1?
Back
The function is written as f(x) = 2|x + 1|.
6.
FLASHCARD QUESTION
Front
What is the transformation represented by f(x) = |x - 3| + 2?
Back
This function represents a horizontal shift to the right by 3 units and a vertical shift up by 2 units.
7.
FLASHCARD QUESTION
Front
What does the negative sign in front of an absolute value function indicate?
Back
The negative sign reflects the graph of the function across the x-axis.
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