Vertex form is
(
x
−
1
)
2
=
y
+
45
4
.
The vertex or this parabola is
V
(
1
,
−
45
4
)
Explanation:
The equation
(
x
−
α
)
2
=
4
a
(
y
−
β
)
represents the parabola with
vertex at
V
(
α
,
β
)
, axis VS along
x
=
α
, focus at
S
(
α
,
β
+
a
)
and directrix as
y
=
β
−
a
Here, the given equation can be standardized as
(
x
−
1
)
2
=
y
+
45
4
. giving
a
=
1
'
4
,
α
=
1
and
β
=
−
45
4
.
Vertex is
V
(
1
,
−
45
4
)
Axis is x=1.
Focus is S(1, -11).
Directrix is
y
=
−
49
4
