Step 1:
\The function is
.
(1)
\ Shifts upward
units :
To obtain the graph of
, shift the graph of
a distance
units upward.
Add 2 units to the function
, thus
Step 2 :
\(2)
\ Reflects about the
- axis :
reflects
about the
- axis.
Multiply
with
, thus
.
Step 3 :
\(3)
\Reflects about
- axis :
reflects
about the
- axis.
Substitute
in
, thus
.
Solution :
\The function is
.