What is the effect of adding a constant to the absolute value function?
Absolute Value Graph Transformations

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Adding a constant (k) to the absolute value function y = |x| shifts the graph vertically. If k is positive, the graph shifts up; if k is negative, it shifts down.
2.
FLASHCARD QUESTION
Front
What does the equation y = |x - h| represent in terms of horizontal shifts?
Back
The equation y = |x - h| shifts the graph horizontally. If h is positive, the graph shifts right; if h is negative, it shifts left.
3.
FLASHCARD QUESTION
Front
How does the equation y = |x + 4| + 2 transform the graph of y = |x|?
Back
The graph of y = |x| is shifted left 4 units and up 2 units.
4.
FLASHCARD QUESTION
Front
What is the transformation of the graph for y = |x - 5| - 3?
Back
The graph of y = |x| is shifted right 5 units and down 3 units.
5.
FLASHCARD QUESTION
Front
What does the term 'absolute value' signify in mathematics?
Back
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.
6.
FLASHCARD QUESTION
Front
How does the graph of y = |x| change when the coefficient of x is negative, as in y = |-x|?
Back
The graph remains the same because the absolute value negates the effect of the negative sign, resulting in y = |x|.
7.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
The general form is y = a|bx - h| + k, where (h, k) is the vertex, 'a' affects the vertical stretch/compression, and 'b' affects the horizontal stretch/compression.
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