Absolute Value Functions Flashcard

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of an absolute value function?
Back
An absolute value function is a function that outputs the distance of a number from zero on the number line, regardless of direction. It is defined as y = |x|.
2.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
The general form is y = a|x - h| + k, where (h, k) is the vertex, 'a' determines the direction and width of the graph.
3.
FLASHCARD QUESTION
Front
What does the vertex of an absolute value function represent?
Back
The vertex is the highest or lowest point of the graph, depending on the value of 'a'. It is the point where the graph changes direction.
4.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for an absolute value function?
Back
The axis of symmetry is the vertical line that passes through the vertex, given by the equation x = h.
5.
FLASHCARD QUESTION
Front
What is the axis of symmetry for the function y = |x - 4| + 1?
Back
x = 4.
6.
FLASHCARD QUESTION
Front
What is the vertex of the function y = |x + 3| - 2?
Back
(-3, -2).
7.
FLASHCARD QUESTION
Front
What is the range of the function y = |x - 2| + 2?
Back
y > 2.
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