All SAT II Math II Resources
Example Question #2 : Coordinate Geometry
Which of the following symmetries applies to the graph of the relation
I) Symmetry with respect to the origin
II) Symmetry with respect to the -axis
III) Symmetry with respect to the -axis
None of these
I, II, and III
is a circle with center and radius .
In other words, it is a circle with center at the origin, translated right units and up units.
is a circle translated right 4 units and up zero units. The upshot is that the circle moves along the -axis only, and therefore is symmetric with respect to the -axis, but not the -axis. Also, as a consequence, it is not symmetric with respect to the origin.