Math 242 Group Problems Section 1.2
1. The points (–0.5, 2) and (
π
, –7) lie on the graph of an equation. Find two other points on the graph
if the equation is symmetric with respect to the:
(a) x-axis
(b) y-axis
(c) origin
2. Part of the graph of an equation is shown. Complete the graph if it is known that the equation is
symmetric with respect to the:
(a) x-axis
(b) y-axis
(c) origin
Draw three separate graphs.
3. Use the following versions of the letters of the alphabet, and assume they are positioned so that they
are centered at the origin.
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
(a) Which letters of the alphabet exhibit an x-axis type of symmetry?
(b) Which letters of the alphabet exhibit a y-axis type of symmetry?
(c) Which letters of the alphabet exhibit an origin type of symmetry?
(d) Which letters of the alphabet exhibit all three types of symmetry (x-axis, y-axis, and origin)?
x
y