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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).
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- Absolute Value Graphs Review
The general form of an absolute value function is...
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The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs. This article reviews how to draw the graphs of absolute value functions.
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.
21 wrz 2023 · Absolute value equations can have up to two solutions. To solve an absolute value inequality involving “less than,” such as \(|X| ≤ p\), replace it with the compound inequality \(−p ≤ X ≤ p\) and then solve as usual.
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.
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.
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.