(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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Vertical distance between two parabola

**Physics Forums | Science Articles, Homework Help, Discussion**