SOLUTION: is the equation -4x^2+8x+y^2+6y=-6 able to be graphed? or does the -4x^2 make it a no graph situation?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: is the equation -4x^2+8x+y^2+6y=-6 able to be graphed? or does the -4x^2 make it a no graph situation?      Log On


   

Question 736786: is the equation -4x^2+8x+y^2+6y=-6 able to be graphed? or does the -4x^2 make it a no graph situation?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Good guess is, YES. That is some kind of conic section, either ellipse or hyperbola. Would you complete the square on x and y and put the equation into its standard form? You would then know if it is ellipse or if it is hyperbola, and you could use the information from standard form to sketch the graph.