If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. ... and absolute value functions, and some transformations such as translations and reflections. Graphing an absolute value function can be a bit deceiving. Graph an Absolute Value Function in Desmos - Duration: 2:56. Absolute Value Graphs & Transformations • Activity Builder by Desmos Graphing an absolute value function can be a bit deceiving. Before graphing any absolute value function, first we have to graph the parent function : x  =  - 3 -----> y  =  |-3|  =  3 -----> (-3, 3), x  =  - 2 -----> y  =  |-2|  =  2 -----> (-3, 3), x  =  - 1 ----->  y  =  |-1|  =  1 -----> (-3, 3), x  =  0 -----> y  =  |0|  =  0 -----> (0, 0), x  =  1 -----> y  =  |1|  =  1 -----> (1, 1), x  =  2 -----> y  =  |2|  =  2 -----> (2, 2), x  =  3 -----> y  =  |3|  =  3 -----> (3, 3). Putting this in front of (x+4) means the absolute value of the quantity x + 4. To get the vertex, equate (x + 3) and (y - 3) to zero. Features: Graphing: Plot polar, cartesian, or parametric graphs. The absolute value function in WolframAlpha is “abs”. This is the graph of y or f of x is equal to two times the absolute value of x plus three, plus two. Depending on the technology you use, the graph you get may not actually represent the function well. Features: Graphi… To put these on the graph I downloaded the image and then added the circles in an image editing program like Paint. To get the vertex of the absolute value function above, equate (x - h) and (y - k) to zero. Experiment with other lines and other placements of the absolute value. In this activity, students explore inequalities involving absolute value and make connections among multiple representations (including algebraic expressions, verbal statements, number line graphs, and solution sets). An even better version of this graph would be to include open circles at x = -4. The graph consists of a horizontal section at y = -1 and another at y = 1 . Did you notice yesterday that as we changed the equation for the absolute value parent function, y = │ x │, that the graph of the parent function began to move around the coordinate plane? This Custom Polygraph is designed to spark vocabulary-rich conversations about transformations of the absolute value parent function. 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In this case, Desmos gives a more accurate graph since it shows the discontinuity at x = -4. Graph f(x) = | x | in. If we have negative sign in front of absolute sign, we have to flip the curve over. If we plot these points on the graph sheet, we will get a graph as given below. Graphing absolute value equations Combining like terms. Graph the absolute value function given below. We believe the key is learning by doing.