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It is useful to be able to tell whether the graph of a function has symmetry before we plot it. Example 1: Test the relation 2y = x? + 3 for symmetry about both the TESTING FOR SYMMETRY. Symmetry about the y-axis x-axis origin. Replace x with x. - yields an equivalent eq. Replace y with y. - yields an equivalent eq. COLLEGE ALGEBRA I (MATH 006). SPRING 2015. ——PRACTICE FOR EXAM III——. SOLUTIONS. 1. Test for symmetry with respect to the x-axis, y-axis, and Recall from Algebra and Calculus I that the concept of symmetry was The big question is how do we test for symmetry of an equation in polar coordinates? 8 Apr 2012 -Symmetry about the origin. Test for symmetry about the origin. Replace 'y' with '-y' and 'x' with '-x'. If the equation remains equivalent, then there is symmetry Graphs of Equations on a coordinate plane can have symmetry with respect to the X-Axis, Y-Axis, and/or the Origin. Each type of symmetry can be determined individually using either graphical or algebraic test methods. Testing for algebraic symmetry can aid in sketching the graphs of equations. Symmetry of a graph is helpful to know before graphing so that you only have to Examples: Use the algebraic tests to check for symmetry with respect to both Today you will use algebraic tests to determine if the graph of a function is symmetric with respect to the origin. Page 2. 3.1. Symmetry and Coordinate Graphs. Today you will use algebraic tests to determine if the graph of a function is symmetric with respect to the origin. Page 2. 3.1. Symmetry and Coordinate Graphs. If (x,y) is any point on the graph and (-x,y) is also on the graph, then it is symmetric to the y-axis.