Graphing Absolute Value Functions

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an absolute value function?
Back
An absolute value function is a function that outputs the non-negative value of its input. It is defined as: f(x) = |x|, where |x| is the absolute value of x.
2.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
The general form of an absolute value function is f(x) = a|bx + c| + d, where a, b, c, and d are constants.
3.
FLASHCARD QUESTION
Front
How does the parameter 'a' affect the graph of an absolute value function?
Back
The parameter 'a' affects the vertical stretch or compression of the graph. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.
4.
FLASHCARD QUESTION
Front
What does the parameter 'b' do in the absolute value function?
Back
The parameter 'b' affects the horizontal stretch or compression of the graph. If |b| > 1, the graph is compressed; if |b| < 1, it is stretched.
5.
FLASHCARD QUESTION
Front
What is the effect of the constant 'c' in the function f(x) = |x - c|?
Back
The constant 'c' shifts the graph horizontally. If c is positive, the graph shifts to the right; if c is negative, it shifts to the left.
6.
FLASHCARD QUESTION
Front
What does the constant 'd' do in the function f(x) = |x| + d?
Back
The constant 'd' shifts the graph vertically. If d is positive, the graph shifts upwards; if d is negative, it shifts downwards.
7.
FLASHCARD QUESTION
Front
How do you find the vertex of an absolute value function?
Back
The vertex of the function f(x) = a|bx + c| + d is located at the point (-c/b, d). This is the point where the graph changes direction.
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