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) About Me  (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: dy%2Fdx=2x-2=0
x-1=0
x=1

y=1%5E2-2%2A1%2B3
y=2

P is (1,2).