Answer:
f
(
x
)
=
3
(
x
−
1
)
2
+
5
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
3
h
=
1
k
=
5
Find the vertex
(
h
,
k
)
.
(
1
,
5
)
image of graph
All you need is the double angle identity:

So we have

Apply the identity again to the squared term:

Answer:
<h2>D</h2>
The cube of twice a number decreased by 11