SOLUTION: 1.Find the point P on the curve y = x^2 - 2x + 3, where the tangent is parallel to x-axis.

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Question 1049334: 1.Find the point P on the curve y = x^2 - 2x + 3, where the tangent is parallel to x-axis.

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
This asks for the vertex, in other words. Why? The curve is a parabola with its minimum as the vertex and because of symmetry at the vertex, tangent on the curve will have slope 0 there.

A bit of Calculus:






P is (1,2).

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