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  1. 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).

  2. Learn how to graph absolute value functions using the general form f (x) = a|x-h| + k. See examples, tips, and practice problems with solutions and comments.

  3. 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.

  4. 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.

  5. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  6. 1. The graph of the absolute value function f (x) = |x|. It is important to note that the equation of the left-hand branch of the “V” is y = −x. Typical points on this branch are (−1, 1), (−2, 2), (−3, 3), etc. It is equally important to note that the right-hand branch of the “V” has equation y = x.

  7. Graphing an Absolute Value Function. The most significant feature of the absolute value graph is the corner point at which the graph changes direction. This point is shown at the origin in Figure 2. Figure 2. Figure 3 shows the graph of y = 2|x– 3| + 4. y = 2 | x – 3 | + 4.

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