Difference between revisions of "2001 AMC 12 Problems/Problem 13"
(New page: == Problem == The parabola with equation <math>p(x) = ax^2+bx+c</math> and vertex <math>(h,k)</math> is reflected about the line <math>y=k</math>. This results in the parabola with equatio...) |
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Revision as of 00:00, 8 February 2009
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 .