![]() So our correct graph should be less steep than a normal absolute value function, and translated down and to the right. ![]() Since we have a low (<1) coefficient inside the function, the graph will horizontally get squished, or vertically stretch. While a high coefficient on the outside would increase every y-value by a certain factor (vertically stretch the graph), a high coefficient on the inside would increase every x-value by a certtain factor (horizontally stretch, which makes the graph wider). Now that the equation has been simplified to y = |1/2 (x - 6)| - 10, you can get to graphing.įor any function, if you have a coefficient inside the operation of the function (the absolute value bars in this case), it basically does the opposite of a coefficient on the outside. Because absolute value doesn't care about the sign, you can effectively just remove the negative on the 1/2. Now you're taking the absolute value of something (x - 6) times a negative. If you do that to this problem, you'll get this: If you have a coefficient of x inside the absolute value sign, one thing you can do is try and isolate it a little bit, by setting it as a factor to the rest of the inside of the absolute value. Located at: License: Public Domain: No Known Copyright.I'll assume you're asking how to graph the equation. ![]() License Terms: IMathAS Community License CC-BY + GPL Authored by: James Sousa () for Lumen Learning. License Terms: Download for free: Ex 4: Solving Absolute Value Equations (Requires Isolating Abs. Ex 4: Solve and Graph Absolute Value inequalities (Requires Isolating Abs. ![]() Ex 2: Solve and Graph Absolute Value inequalities.Ex 1: Solve and Graph Basic Absolute Value inequalities.Notice absolute value is not alone, multiply both sides by the reciprocal of -\frac Answer ![]()
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