Investigation of Absolute Value



This investigation discovers the effect of variations of the following equation:



It is best to discover the power of absolute value by observing the following variations:


The absolute value applied to the squared variables will not effect the outcome of the graph as the square of any number is positive. If we consider changing the sign in front of the middle variables and alternate the absolute value on each variable, we can observe the following:


The graph shows two heart shapes. The first upside down and the second turned clockwise by 90 degrees. These observations are interesting aspects of absolute value on this particular equation.

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