text: x2+4x+y2-2y=0 list the intercepts and test for symmetry?   y-intercepts: 2^2+4x=0 (x +4)( x)=0 x= -4 and x=0 intercepts:  (0,0) (-4,0)  x-intercepts: y^2-2y=0 (y-2)(y)=0 y=0 and y=2 intercepts: (0,0) (0,2) symmetry:  [symmetry to the x-axis       (x, -y) is on the graph when (x, y) is. test for symmetry       in the equation, leave x alone and replace y with -y.  if you get the same equation, it is symmetric to the x-axis. symmetry to the y-axis       (-x, y) is on the graph when (x, y) is. test for symmetry.         in the equation, replace x with -x.  if the equation is the same, it is symmetric to tye y-axis. symmetry to the line y = x.       (y, x) is on the graph when (x, y) is. test for symmetry.       interchange x and y.  if the equation is the same then it is symmetric to the line y = x. symmetry to the origin.       (-x, -y) is on the graph when (x, y) is. test for symmetry.       replace x with -x and y with -y.  if the equation is the same, then it is symmetric to the origin.]