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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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- 6 Years Ago Posted 6 Years Ago. Direct Link to David Severin's Post “No, If It is Positive It
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- Graphing Absolute Value Functions
We can graph any absolute value equation of the form...
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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...
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 and the most commonly used form of this function is f (x) = |x|, where a = 1 and h = k = 0.
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.
We can graph any absolute value equation of the form y=k|x-a|+h by thinking about function transformations (horizontal shifts, vertical shifts, reflections, and scalings). Questions. Tips & Thanks. Want to join the conversation? Log in. Sort by: Top Voted. Prince Lawrence. 6 years ago.
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.
Given an absolute value function, solve for the set of inputs where the output is positive (or negative). Set the function equal to zero, and solve for the boundary points of the solution set. Use test points or a graph to determine where the function’s output is positive or negative.
