SOLUTION: Complete the square of this equation of a function h (t) = 250t − 5t^2 in a form of h (t) = a (t − h)2+ k.

Algebra ->  Equations -> SOLUTION: Complete the square of this equation of a function h (t) = 250t − 5t^2 in a form of h (t) = a (t − h)2+ k.      Log On


   

Question 1181023: Complete the square of this equation of a function
h (t) = 250t − 5t^2
in a form of h (t) = a (t − h)2+ k.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h%28t%29=250-5t%5E2

h%28t%29=-5%28t%5E2-50t%29
-5%28t%5E2-50t%2B25%5E2-25%5E2%29
-5%28%28t%5E2-50t%2B25%5E2%29-25%5E2%29
-5%28%28t-25%29%5E2-625%29
highlight%28-5%28t-25%29%5E2%2B3125%29
Study your book to understand why 25%5E2 was used.