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## Homework Statement

A circle with a radius of 1inscribed in the parabola y=x^2, find the center of the circle. The figure shows the circle on the y-axis.

## Homework Equations

[tex]y=x^2[/tex]

[tex] r^2=(x-h)^2+(y-k)^2[/tex]

## The Attempt at a Solution

h=0. [tex]\frac{x^2+(y-k)^2}{r^2}=x^2[/tex]

R^2=1 and the x^2 can be subtracted out leaving:[tex](y-k)^2=0[/tex] take the derivitive of each side, find y, substitute that back in and find k but I end up with other varibles to solve.

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