What are the vertex, focus and directrix of y=(x+6)236+3?
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3
Vertex
(
−
3
,
2
)
Focus
(
−
3
,
6
)
Directrix
y
=
−
2
Explanation:
From the given
(
x
+
3
)
2
=
16
(
y
−
2
)
This is actually the vertex form, so we can obtain the vertex already
(
x
−
−
3
)
2
=
16
(
y
−
2
)
h
=
−
3
and
k
=
2
Also
4
p
=
16
and
p
=
4
Focus is at
(
−
3
,
2
+
4
)
=
(
−
3
,
6
)
Directrix is at
y
=
2
−
4
=
−
2
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