SAT Math · Nonlinear functions · easy
A parabola has zeros at x=-2 and x=8. What is the x-coordinate of the vertex of the parabola?
A parabola has zeros at and . What is the -coordinate of the vertex of the parabola?
Answer and explanation
Answer: D: 3
A parabola is symmetric about its axis, which passes through the vertex. The axis is exactly halfway between the two zeros, so the vertex's -coordinate is the average of and : , choice D. Choice A (6) is the sum of the zeros. Choice B (5) is half the distance between the zeros, , which gives the half-width of the parabola, not the position of its center. Choice C () comes from a sign error with that half-distance. Add the zeros and divide by 2.
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