(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Write a function for d(x), the vertical distance between the two curves, and find the minimum value of d(x).

2. Relevant equations

The equation for parabola one is y = x^2 + 6, for parabola two, y = -(x-2)^2 + 6

3. The attempt at a solution

The answer in the back of the book is d(x) = 2x^2 - 4x + 4, with a minimum value of 2. This is from my old algebra 2 trig textbook and I have no teacher to ask for help, as I am doing self study. Any and all help would be very much appreciated.

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# Vertical distance between two parabola

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