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Putnam
Putnam 1939
B4
B4
Part of
Putnam 1939
Problems
(1)
Putnam 1939 B4
Source:
8/20/2021
The axis of a parabola is its axis of symmetry and its vertex is its point of intersection with its axis. Find: the equation of the parabola which touches
y
=
0
y = 0
y
=
0
at
(
1
,
0
)
(1,0)
(
1
,
0
)
and
x
=
0
x = 0
x
=
0
at
(
0
,
2
)
;
(0,2);
(
0
,
2
)
;
the equation of its axis; and its vertex.
Putnam