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## Homework Statement

You are given point (1,2).

f(x) = 0.199445983x^2 - 3.789473684x + 19

f'(x) = 0.398891966x - 3.789473684

You also know (0,19), (9.5,1) <-- this is the vertex.

This graph has the domain 0≤ x ≤ 9.5

Find the point on the curve that when joined to a line segment with this outside point (1,2), is the minimum distance that point could be away from the curve.

## The Attempt at a Solution

I found out the equations myself because we were given a diagram, and the points as well. Now, I don't know how to proceed to get the minimum distance from the point to the curve..