Absolute value graphs

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the parent function of absolute value graphs?
Back
The parent function of absolute value graphs is y = |x|.
2.
FLASHCARD QUESTION
Front
How does the graph of y = |x| + k transform the parent function?
Back
The graph shifts vertically by k units. If k is positive, it shifts up; if k is negative, it shifts down.
3.
FLASHCARD QUESTION
Front
What effect does a negative sign in front of the absolute value have on the graph?
Back
It reflects the graph across the x-axis.
4.
FLASHCARD QUESTION
Front
What does the coefficient in front of the absolute value function (e.g., y = a|x|) affect?
Back
It affects the width of the graph. If |a| > 1, the graph is narrow; if |a| < 1, the graph is wide.
5.
FLASHCARD QUESTION
Front
How does the graph of y = |x - h| transform the parent function?
Back
The graph shifts horizontally by h units. If h is positive, it shifts right; if h is negative, it shifts left.
6.
FLASHCARD QUESTION
Front
What is the effect of the transformation y = |x| - k?
Back
The graph shifts down by k units.
7.
FLASHCARD QUESTION
Front
If the graph of y = |x| is transformed to y = -|x|, what is the result?
Back
The graph is reflected over the x-axis.
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