When graphing, some people normally do point plotting. Some people use the properties of curves(extent, symmetry, intercepts, asymptotes(vertical, horizontal and slant)). I've wondered why is it that I'm taught that a graph of an absolute value of a linear equation is always a 'V' shape, what's the reason behind it. Out of curiosity, I've search the graph of the absolute value of a cubic equation and it didn't made any sense and when i removed the absolute value it still didn't made much sense. I tried to graph an absolute value of a quadratic equation but it still doesn't make any sense so when I removed the absolute value I know for sure the graph would be always a parabola. When I compared the two graphs together, I saw that the graphs are similar but in the absolute value the graph is inverted (this meant for me an 'absolute value' where something look positive) at y-axis making y as positive. You could simply use the properties of a curve and then invert y(making all y values positive) to make its graph. All absolute value of linear equation a 'V' shape because the graph of a linear equation is always a line. For the technical definition of an absolute value please refer to http://www.purplemath.com/modules/exponent5.htm#definition. Source of photo: wolfram alpha.

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