2006 AMC 10A Problems/Problem 8
Problem
A parabola with equation passes through the points (2,3) and (4,3). What is
?
Solution
Substitute the points (2,3) and (4,3) into the first equation for (x,y).
Then we get a system of two equations:
Subtracting the first equation from the second we have:
Then using in the first equation:
. E is the answer.
--Someperson01 17:35, 15 July 2006 (EDT)