SOLUTION: Find the coordinates of the vertex of the parabola y=x2-4x+1 by making use of the fact that at the vertex, the slope of the tangent line is zero.

Question 942469: Find the coordinates of the vertex of the parabola y=x2-4x+1 by making use of the fact that at the vertex, the slope of the tangent line is zero.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
It's easier to just complete the square but ...
The slope of the tangent is also the value of the derivative.

Set this equal to zero.

So then,

Comparing to the original equation,

Then,

So the equation in vertex form is,

and the vertex is (2,-3)
.
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