SOLUTION: Which of the following conic sections is defined by the equation x2+ 8x - y + 2 = 0?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Which of the following conic sections is defined by the equation x2+ 8x - y + 2 = 0?      Log On


   



Question 836031: Which of the following conic sections is defined by the equation x2+ 8x - y + 2 = 0?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You did not show or reference to the pictures to choose.

Assuming you mean, x%5E2%2B+8x+-+y+%2B+2+=+0, putting into general form becomes y=x%5E2%2B8x%2B2
-
Parabola with axis parallel to the y axis, with a minimum point, and should have two x intercepts. Vertex about (-4,-14).
-
Discriminant is 8%2A8-4%2A2=56;
a=1