(0,-13)
Rewrite the equation in vertex form.
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Add
−
16
-
16
and
3
3
.
y
=
2
x
2
−
13
y
=
2
x
2
-
13
Complete the square for
2
x
2
−
13
2
x
2
-
13
.
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2
(
x
+
0
)
2
−
13
2
(
x
+
0
)
2
-
13
Set
y
y
equal to the new right side.
y
=
2
(
x
+
0
)
2
−
13
y
=
2
(
x
+
0
)
2
-
13
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
, to determine the values of
a
a
,
h
h
, and
k
k
.
a
=
2
a
=
2
h
=
0
h
=
0
k
=
−
13
k
=
-
13
Find the vertex
(
h
,
k
)
(
h
,
k
)
.
(
0
,
−
13
)