Being able to see the function will be of great value in not only understanding core concepts and making some difficult things easy , but also in helping you generating tremendous speed when it comes to working out equations . And the amazing part about these graphs is not only they make things easy for you to grasp but also that the concept of plotting a graph itself is so simple to master. We strongly recommend that you master these visualizations , the process of plotting a graph of a function and the ability to “shift” the graph in your head according to the changes in the equation .
Basics graph and shifting based on changes in variables and constants
1. Y=|X| , Y= |X|+5, Y=|X|-5, Y=|X+5| , Y=|X+5|
2. Y=|X-5|-5 , Y=|X-5|+5 , Y =|X+5| -5 , Y= |X+5|+5
3. |X|+|Y|=5 , |X-3|+|Y| =5 , |X+3| + |Y| = 5 , |X|+|Y-3| = 5 , |X|+|Y+3| =5 , |X-3|+|Y-3| = 5 , |X-3|+|Y+3| = 5 , |X+3|+|Y-3|= 5 , |X+3|+ |Y+3| = 5
4. |X| – | Y| = 5 , |X-3|-|Y| = 5 , |X+2|-|Y| = 5 , |X| -|Y-3| = 5 , |X| -|Y+3| = 5 , |X-2|-|Y-3| = 5 , |X-2| -|Y+3| = 5 , |X+2| -|y-3| = 5 , |X+2|-|Y+3| = 5
5. |Y| -|X| = 3 and variations