Absolute Value Transformations Practice

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the parent function for absolute values?
Back
y = |x|
2.
FLASHCARD QUESTION
Front
Describe the transformation that is applied to the parent function. f(x) = |x| - 5
Back
Shifts down 5
3.
FLASHCARD QUESTION
Front
Describe the transformation of the equation below from the parent function of y = |x|: y = |x + 3|
Back
Left 3
4.
FLASHCARD QUESTION
Front
How does the following graph shift from the parent function y = |x|? y = |x| - 8
Back
Shift down
5.
FLASHCARD QUESTION
Front
Use the standard form: f(x)=a|x-h|+k. What is the vertex of the following function? y= -4|x+2|+5
Back
(-2, 5)
6.
FLASHCARD QUESTION
Front
What does the 'a' represent in the standard form f(x)=a|x-h|+k?
Back
The 'a' represents the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).
7.
FLASHCARD QUESTION
Front
What effect does changing 'h' have in the function f(x)=a|x-h|+k?
Back
Changing 'h' shifts the graph horizontally. If h is positive, the graph shifts right; if h is negative, it shifts left.
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