Absolute value graphs
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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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|.
Tags
CCSS.6.NS.C.7C
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 the vertex at the origin (0,0).
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How does the graph of y = -|x| differ from y = |x|?
Back
The graph of y = -|x| is a V-shaped graph that opens downwards, with the vertex at the origin (0,0).
4.
FLASHCARD QUESTION
Front
What is the vertex of the function y = |x - h| + k?
Back
The vertex of the function y = |x - h| + k is the point (h, k).
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How does the value of 'h' in y = |x - h| + k affect the graph?
Back
The value of 'h' shifts the graph horizontally. If h is positive, the graph shifts right; if h is negative, it shifts left.
6.
FLASHCARD QUESTION
Front
How does the value of 'k' in y = |x - h| + k affect the graph?
Back
The value of 'k' shifts the graph vertically. If k is positive, the graph shifts up; if k is negative, it shifts down.
7.
FLASHCARD QUESTION
Front
What does a coefficient greater than 1 in y = a|x| indicate about the graph?
Back
A coefficient greater than 1 makes the graph narrower compared to the parent function y = |x|.
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