2A.2A Absolute Value Graphs and Transformations

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the parent function of absolute value?
Back
The parent function of absolute value is f(x) = |x|.
2.
FLASHCARD QUESTION
Front
What does the graph of f(x) = |x| look like?
Back
The graph of f(x) = |x| is a V-shaped graph that opens upwards with its vertex at the origin (0,0).
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What transformation does g(x) = |x - 2| represent?
Back
The graph of g(x) = |x - 2| is the graph of f(x) = |x| shifted 2 units to the right.
4.
FLASHCARD QUESTION
Front
What transformation does g(x) = |x| + 2 represent?
Back
The graph of g(x) = |x| + 2 is the graph of f(x) = |x| shifted 2 units up.
5.
FLASHCARD QUESTION
Front
What does the negative sign in front of the absolute value function indicate?
Back
The negative sign indicates that the graph opens downwards.
6.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on the graph of an absolute value function?
Back
A vertical stretch makes the graph narrower. For example, g(x) = 3|x| is a vertical stretch of f(x) = |x|.
7.
FLASHCARD QUESTION
Front
What is the effect of a vertical compression on the graph of an absolute value function?
Back
A vertical compression makes the graph wider. For example, g(x) = (1/2)|x| is a vertical compression of f(x) = |x|.
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