Where Is The Circle Positioned?

Let us go back to high school algebra class and look at this problem. The circle has radius 1 and is inscribed in the parabola y = x². Can you find the center of the circle

Here’s a hint: the circle is tangent to the parabola and 

I recommend you pause the article, grab your pen and paper, and give this a go. When you are ready, keep reading for the solution! 

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