Find the directrix of y^2=25
Answers
Answered by
0
Answer:
5
Step-by-step explanation:
y^2 = 25
y = 25^1/2
y=5
that's why answer is 5
Answered by
0
Answer:
The vertex is
=
(
−
2
,
−
3
)
The focus is
=
(
−
4
,
−
3
)
The directrix is
x
=
0
Explanation:
Rewrite the equation and complete the squares
y
2
+
6
y
+
8
x
+
25
=
0
y
2
+
6
y
=
−
8
x
−
25
y
2
+
6
y
+
9
=
−
8
x
−
25
+
9
(
y
+
3
)
2
=
−
8
x
−
16
(
y
+
3
)
2
=
−
8
(
x
+
2
)
We compare this equation to
(
y
−
b
)
2
=
2
p
(
x
−
a
)
2
p
=
−
8
,
⇒
,
p
=
−
4
The vertex is
(
a
,
b
)
=
(
−
2
,
−
3
)
The focus is
(
a
+
p
2
,
b
)
=
(
−
4
,
−
3
)
The directrix is
x
=
a
−
p
2
,
⇒
,
x
=
−
2
+
2
=
0
graph{(y^2+6y+8x+25)((x+2)^2+(y+3)^2-0.1)((x+4)^2+(y+3)^2-0.1)=0 [-59.95, 13.1, -21.5, 15.05]}
Step-by-step explanation:
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