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General form of an absolute value equation: f ( x) = a | x − h | + k. The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h and k tell us how far the graph shifts horizontally and vertically. Some examples: Graph of y=|x|. Graph of y=3|x|. Graph of y=-|x|. Graph of y=|x+3|-2.
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- Graphing Absolute Value Functions
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An absolute value function is an important function in algebra that consists of the variable in the absolute value bars. The general form of the absolute value function is f (x) = a |x - h| + k, where (h, k) is the vertex of the function.
5 maj 2020 · Learn how to graph absolute value functions in this video math tutorial by Mario's Math Tutoring. We discuss how to graph the parent function as well as the transformations of the form...
21 wrz 2023 · To solve an absolute value equation, such as \(|X| = p\), replace it with the two equations \(X = −p\) and \(X = p\) and then solve each as usual. Absolute value equations can have up to two solutions.
Solve an absolute value equation using the following steps: Get the absolve value expression by itself. Set up two equations and solve them separately.
To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero.
In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative (in which case negating makes positive), and . For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3.
