2001 AMC 12 Problems/Problem 13
Problem
The parabola with equation and vertex
is reflected about the line
. This results in the parabola with equation
. Which of the following equals
?
Solution
We write as
(this is possible for any parabola). Then the reflection of
is
. Then we find
. Since
and
, we have
, so the answer is
.
See Also
2001 AMC 12 (Problems • Answer Key • Resources) | |
Preceded by Problem 12 |
Followed by Problem 14 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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