The points on the graph of are
,
,
, and
.
(a) Draw the graph of :
The transformation reflects any portion of the graph of that is below the
-axis so that it is above the
-axis.
The points below on the graph of are
and
.
Therefore, the points and
are on
.
Graph the function with the points
,
,
and
.
(b) Draw the graph of :
The transformation results in the portion of the graph of that is to the left of the
-axis being replaced by a reflection of the portion to the right of the
-axis.
Graph the function with the points
,
,
,
, and
.
(a) Graph of :
(b) Graph of :
.