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advanced-mathA parabola has x-intercepts at -2 and 4. What is the x-coordinate of its vertex?
A
1
B
2
C
3
D
-1
Correct Answer: A
Choice A is the correct answer. Parabolas are symmetric. The axis of symmetry (and thus the vertex's x-coordinate) lies exactly halfway between the roots.
- Find the midpoint: .
- Simplify: .
Choice B is incorrect because it is the sum. Choice C is incorrect because it is not the midpoint. Choice D is incorrect because of sign error.