What is an absolute value function?
Graphing Absolute Value Functions

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An absolute value function is a function that contains an algebraic expression within absolute value symbols, which measures the distance of a number from zero on the number line, resulting in a non-negative output.
2.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
3.
FLASHCARD QUESTION
Front
How does the value of 'a' affect the graph of an absolute value function?
Back
If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards. The larger the absolute value of 'a', the steeper the graph.
4.
FLASHCARD QUESTION
Front
Back
The vertex is the point (h, k) on the graph, which is the highest or lowest point depending on the value of 'a'.
5.
FLASHCARD QUESTION
Front
Back
The vertex is found at the point (-2, 5). Here, h = -2 and k = 5.
6.
FLASHCARD QUESTION
Front
Back
The graph is a V-shape that opens upwards with the vertex at the origin (0, 0).
7.
FLASHCARD QUESTION
Front
Back
Adding a constant outside the absolute value shifts the graph vertically. In this case, the graph shifts up by 3 units.
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