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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.
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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, where (h, k) is the vertex of the function.
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.
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 · Use this theorem to solve absolute value equations algebraically. Example \ (\PageIndex {1}\): Solve: \ (|x+2|=3\). Solution. In this case, the argument of the absolute value is \ (x+2\) and must be equal to \ (3\) or \ (−3\). Figure \ (\PageIndex {2}\)
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...
An absolute value equation is an equation in which the unknown variable appears in absolute value bars. For example, \[\begin{align*}|x|&=4, \nonumber \\[4pt] |2x−1| &=3, \\[4pt] |5x+2|−4 &=9. \end{align*}\]
