Crossing a shifted parabola

Crossing a shifted parabola

5 marks
TGM Original
Find the values of c for which y=-2x+c intersects y=x2+1 at two distinct points. Find the point of contact when the line is tangent.

Solution:

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Answer:Two distinct points when \(c>0\); tangency at \(c=0\), contact point \((-1,2)\).

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