Copy the graph at right onto graph paper.

1. If the shape $ABCDE$ were rotated about the origin $180^\circ$, where would point $A'$ be?

   Answer (a):

   ($-1, -2$)

2. If the shape $ABCDE$ were reflected across the $x$-axis, where would point $C'$ be?

   Hint (b):

   A reflection across the $x$ axis means that the $y$ terms become negative.

3. If the shape $ABCD$ were translated so that each point ($x, y$) corresponds to ($x - 1, y + 3$), where would point $B'$ be?

   Hint (c):

   In other words, subtract $1$ from the $x$ term and add $3$ to the $y$ term in point $B$.