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Problem 11 - Entrance Test

A parabola with vertex (2,–3) and focus (2,–1) intersects the line y=x+1 at points whose x-coordinates sum to

Correct: C

Parabola: (x–2)²=4·2(y+3). Intersect y=x+1: (x–2)²=8(x+4) ⇒ x²–12x–28=0. Sum of roots=12.