SOLUTION: Given the two points (-3,2) and (0,11) Given that the coefficient of x^2 is 1, write the quadratic equation it represents in the form y = (x + b)^2 + c

Algebra ->  Graphs -> SOLUTION: Given the two points (-3,2) and (0,11) Given that the coefficient of x^2 is 1, write the quadratic equation it represents in the form y = (x + b)^2 + c       Log On


   

Question 985279: Given the two points (-3,2) and (0,11)
Given that the coefficient of x^2 is 1, write the quadratic equation it represents in the form y = (x + b)^2 + c

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
2=%28-3%2Bb%29%5E2%2Bc
%28b-3%29%5E2%2Bc=2
b%5E2-6b%2B9-2%2Bc=0
b%5E2-6b%2Bc=-7

11=%280%2Bb%29%5E2%2Bc
b%5E2%2Bc=11
and use this to find c in terms of b.
c=11-b%5E2
and substitute this into the other equation.

b%5E2-6b%2B11-b%5E2=-7
-6b%2B11=-7
-6b=-18
highlight%28b=3%29-----------and you can find c on your own from here.