HWZ U3 Graphs and Symmetry of Equations Practice Finding Intercepts 1. To find x intercepts, substitute y with 0 and solve the equation for x. 2. To find y intercepts, substitute x with 0 and solve the equation for y. Algebraic Test for Symmetry x - axis symmetry: Occurs if "y" is replaced with " y)", and it yields the original equation. y axis symmetry: Occurs if "x" is replaced with "(x)", and it yields the original equation. origin symmetry: Occurs if "X" is replaced with "(x) " AND "y" is replaced with "(y)',' and it yields the original equation. *Memorize these Equations* For each given equation, (a) nd the x- and y-intercepts, (b) test for x-axis, y-axis, and origin symmetry, and (c) graph the equation. 1) y=x23x a) X- and yintercepts 3) test for X-axis symmetry, test for y-axis symmetry test for origin symmetry ) Select additional x-values to plug into the equation to help graph the function