This video teaches you how to test for symmetry algebraically. You will need to know the basic formats of graphs and the (x,y) setup. Once you get your equation of the line, you will need to replace y with negative y and x with negative x and solve the equation. You will need to solve for x and also for y for the odd and even. If the equations do not equal each other then they are not even or they are not odd. If this is the case then the lines are not symmetrical and that is how you test for symmetry algebraically.

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