SOLUTION: y^2 -2x^2 -16=0 Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: y^2 -2x^2 -16=0 Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 584866: y^2 -2x^2 -16=0 Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .

Answer by lwsshak3(6469) About Me  (Show Source):
You can put this solution on YOUR website!
y^2 -2x^2 -16=0 Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y^2-2x^2=16
y^2/16-x^2/8=1
This is an equation of a hyperbola with vertical transverse axis of the standard form:
(y-k)^2/a^2-(x-k)^2/b^2=1, (h,k) being the (x,y) coordinates of the center.