Absolute Value Graphing
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of absolute value?
Back
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.
2.
FLASHCARD QUESTION
Front
What does the graph of y = |x| look like?
Back
The graph of y = |x| is a V-shaped graph that opens upwards, with its vertex at the origin (0,0).
3.
FLASHCARD QUESTION
Front
How does the graph of y = |x - h| + k transform the parent function y = |x|?
Back
The graph shifts right by h units and up by k units.
4.
FLASHCARD QUESTION
Front
What is the vertex of the absolute value function y = a|x - h| + k?
Back
The vertex is the point (h, k).
5.
FLASHCARD QUESTION
Front
What effect does the value of 'a' have on the graph of y = a|x|?
Back
If |a| > 1, the graph is narrower than the parent function; if 0 < |a| < 1, it is wider.
6.
FLASHCARD QUESTION
Front
What is the equation of the absolute value function with vertex (0, 4)?
Back
The equation is y = |x| + 4.
7.
FLASHCARD QUESTION
Front
How do you determine if a graph is narrow, wide, or the same compared to the parent function?
Back
Compare the coefficient 'a' in y = a|x|: |a| > 1 is narrow, |a| < 1 is wide, and |a| = 1 is the same.
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