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 is the parent function of absolute value?
Back
The parent function of absolute value is f(x) = |x|.
3.
FLASHCARD QUESTION
Front
How does the graph of y = a|x| differ from the parent function?
Back
If |a| > 1, the graph is narrower; if 0 < |a| < 1, the graph is wider.
4.
FLASHCARD QUESTION
Front
What effect does adding a constant outside the absolute value have on the graph?
Back
Adding a constant outside the absolute value function shifts the graph vertically. For example, y = |x| + 2 shifts the graph up by 2 units.
5.
FLASHCARD QUESTION
Front
What effect does adding a constant inside the absolute value have on the graph?
Back
Adding a constant inside the absolute value function shifts the graph horizontally. For example, y = |x - 3| shifts the graph right by 3 units.
6.
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) on the graph.
7.
FLASHCARD QUESTION
Front
How do you determine if the graph of y = a|x| is wide, narrow, or the same as the parent function?
Back
Compare the value of 'a': |a| > 1 means narrow, 0 < |a| < 1 means wide, and |a| = 1 means the same.
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