2006 AMC 12B Problems/Problem 12
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Contents
[hide]Problem
The parabola has vertex and -intercept , where . What is ?
Solution 1
Substituting , we find that , so our parabola is .
The x-coordinate of the vertex of a parabola is given by . Additionally, substituting , we find that . Since it is given that , then .
Solution 2
A parabola with the given equation and with vertex must have equation . Because the -intercept is and , it follows that . Thus so .
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 11 |
Followed by Problem 13 |
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All AMC 12 Problems and Solutions |
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