The function is .
The given function completing the square on the right side.
\To change the expression in to a perfect square trinomial add and subtract
.
Now it is in the form of .
Graph of .
From the properties of power functions the graph of is always contains the points
,
and
.
Now the first translation is the graph of shifting
units to right.
Graph of .
Next translation is the graph of shifting down
units.
Graph of
Graph of or
.