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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
We can graph any absolute value equation of the form...
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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 and the most commonly used form of this function is f (x) = |x|, where a = 1 and h = k = 0.
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...
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.
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.
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.
Here are 2 examples illustrating the procedure for finding the function rule. Example. Find the function rule for the absolute value function with vertex at (2, 1) through (5, 13). Solution. Since the vertex is at (2, 1), we know that h = 2 and k = 1 Therefore f ( x) = a | x 2 | + 1 is the equation of the function.
