f
(
x
)
=
−
x
^2
−
4
x
+
12
Rewrite the equation in vertex form.
Complete the square for −
x
^2
−
4
x
+
12
.
−
(
x
+
2
)
^2
+
16
Set y equal to the new right side.
y
=
−
(
x
+
2
)
^2
+
16
Use the vertex form, y
=
a
(
x
−
h
)
^2
+
k
, to determine the values of a
, h
, and k
.
a
=
−
1
h
=
−
2
k
=
16
Find the vertex (
h
,
k
)
.
(
−
2
, 16
)
So the answer is (-2, 16)
Hope this helps
Please mark my answer as brainliest?
