Engineering Board Exam Reviewer · Tangent and Normal Lines · medium

At what point on the curve y=x2-4x+5 is the tangent line parallel to the line y=2x+1?

1. (3,2)
2. (2,1)
3. (3,-2)
4. (1,2)

Answer

A. (3,2)

Solution

y'=2x-4=2 x=3. Then y=9-12+5=2, so the point is (3,2).

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