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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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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).
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.
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
21 wrz 2023 · Absolute Value Equations. Recall that the absolute value 63 of a real number \(a\), denoted \(|a|\), is defined as the distance between zero (the origin) and the graph of that real number on the number line. For example, \(|−3|=3\) and \(|3|=3\).
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Discover how to graph an absolute value function with linear expression. Understand what a 'V' or inverted 'V' shape is and how to find the vertex for the best approximation.
