SOLUTION: identify the conic section if it is a parabola give the vertex if it is a circle give the center and radius if it is a ellipse or a hyperbola give the center and foci y^2-3x+10y+

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: identify the conic section if it is a parabola give the vertex if it is a circle give the center and radius if it is a ellipse or a hyperbola give the center and foci y^2-3x+10y+      Log On


   

Question 1010713: identify the conic section if it is a parabola give the vertex if it is a circle give the center and radius if it is a ellipse or a hyperbola give the center and foci
y^2-3x+10y+37=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y%5E2-3x%2B10y%2B37=0
y%5E2%2B10y=3x-37
%28y%5E2%2B10y%2Bb%5E2%29-b%5E2=3x-37
%28y%5E2%2B10y%2B5%5E2%29-5%5E2=3x-37
%28y%2B5%29%5E2-25=3x-37
%28y%2B5%29%5E2=3x-37%2B25
%28y%2B5%29%5E2=3x-12
y%2B5=sqrt%283%28x-4%29%29
y=sqrt%283%28x-4%29%29-5

so,
vertex is at (4,-5)