where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
given the parabola in
standard form
;
y
=
a
x
2
+
b
x
+
c
then the x-coordinate of the vertex is
∙
x
x
vertex
=
−
b
2
a
y
=
x
2
−
6
x
+
7
is in standard form
with
a
=
1
,
b
=
−
6
and
c
=
7
x
vertex
=
−
−
6
2
=
3
substitute this value into the equation for y
y
vertex
=
9
−
18
+
7
=
−
2
(
h
,
k
)
=
(
3
,
−
2
)
y
=
(
x
−
3
)
2
−
2
←
in vertex form