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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 \(|3|=3\).
Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as 8 = | 2 x − 6 | , 8 = | 2 x − 6 | , we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8.
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).
Learn how to graph absolute value functions with different shifts, stretches, and reflections. See examples, solutions, and Q&A on how to write equations for absolute value functions.
Learn how to graph an absolute value function with a linear expression inside the symbol. Find the vertex of the graph by using the standard form or the middle value of the expression.
This article reviews how to draw the graphs of absolute value functions. 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.
