SOLUTION: how do you change y=2x^2+24x+25 standard form to vertex form?

Algebra ->  Rational-functions -> SOLUTION: how do you change y=2x^2+24x+25 standard form to vertex form?      Log On


   

Question 356500: how do you change y=2x^2+24x+25 standard form to vertex form?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=%282x%5E2%2B24x%29%2B25
y=2%28x%5E2%2B12x%29%2B25<--- Factor out the 2.
y=2%28x%5E2%2B12x%2B36%29%2B25-2%2836%29<--- Add and subtract (1/2) coefficient of x squared.
y=2%28x%2B6%29%5E2%2B25-72
highlight%28y=2%28x%2B6%29%5E2-47%29