SOLUTION: find the vertex of the parabola whose equation is y²+3x-2y+7=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the vertex of the parabola whose equation is y²+3x-2y+7=0      Log On


   

Question 1143812: find the vertex of the parabola whose equation is y²+3x-2y+7=0
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


With vertex (h,k), the vertex form of the equation is

%28x-h%29+=+%281%2F%284p%29%29%28y-k%29%5E2

Put the equation in that form by completing the square in y and then solving for x.

y%5E2%2B3x-2y%2B7+=+0 given
y%5E2-2y+=+-3x-7 isolate the y terms
y%5E2-2y%2B1+=+-3x-7%2B1+=+-3x-6 complete the square in y
%28y-1%29%5E2+=+-3%28x%2B2%29 put in vertex form
x%2B2+=+%28-1%2F3%29%28y-1%29%5E2 done....

The vertex is (h,k) = (-2,1).