Absolute Value Functions

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex of the absolute value function f(x) = |2x - 6| + 4?
Back
The vertex is (3, 4).
2.
FLASHCARD QUESTION
Front
How do you shift the graph of y = |x| to the right by 4 units?
Back
The transformation is y = |x - 4|.
3.
FLASHCARD QUESTION
Front
Write the absolute value function for a vertical stretch of 2, horizontal shift left 1 unit, and vertical shift down 9 units.
Back
f(x) = 2|x + 1| - 9.
4.
FLASHCARD QUESTION
Front
What is the transformation of the equation y = |x + 2| - 5 from the parent function y = |x|?
Back
The transformation is left 2 units and down 5 units.
5.
FLASHCARD QUESTION
Front
What is the equation of the graph represented by f(x) = -|x - 2|?
Back
The equation is f(x) = -|x - 2|.
6.
FLASHCARD QUESTION
Front
What does the absolute value function represent graphically?
Back
The absolute value function represents the distance from the x-axis.
7.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
The general form is f(x) = a|bx - h| + k, where (h, k) is the vertex.
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