SOLUTION: find the equation of the normal to the curve y=3+2x-x^2 which is parallel to the line 2y-x=3

Question 1149607: find the equation of the normal to the curve y=3+2x-x^2 which is parallel to the line 2y-x=3
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The derivative of the function for the given curve is the slope of the curve at any point.

The slope of the given line is 1/2; we want the slope of the normal to the curve to also be 1/2. That means we want the slope of the curve at that point to be -2.

The slope is 1/2; the point on the curve is (2,3). The equation of the normal is

A graph, showing the given curve (red), the given line (green), and the normal to the curve parallel to the given line (blue).

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