SOLUTION: use completing the square to discribe the graph of f(x)=36-12x-x^2 support your answer graphically

Question 626967: use completing the square to discribe the graph of f(x)=36-12x-x^2
support your answer graphically
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
use completing the square to describe the graph of f(x)=36-12x-x^2
f(x) = 0
0 = 36 - 12x - x^2
x^2 + 12x + ___ = 36
Complete the square; (12/2)^2 = 36, add to both sides
x^2 + 12x + 36 = 36 + 36
x^2 + 12x + 36 = 72
(x + 6)^2 = 72
x + 6 = +/-
extract the square root of 36
x + 6 = +/-
Two solutions
x =
and
x =
;
support your answer graphically

:
~ +2.5
~ -14.5
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