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Problem
Problem
Prove that the equation of the parabola whose focus is
(
0
,
0
)
(0,0)
(
0
,
0
)
and tangent at the vertex is
x
−
y
+
1
=
0
x - y + 1 = 0
x
−
y
+
1
=
0
is
x
2
+
y
2
+
2
x
y
−
4
x
+
4
y
−
4
=
0
x^2 + y^2 + 2xy - 4x + 4y - 4 = 0
x
2
+
y
2
+
2
x
y
−
4
x
+
4
y
−
4
=
0
.
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