SOLUTION: `Identify each equation carefully. Choose the correct answer. SHOW YOUR SOLUTION.Thank you 1.y^2+6x+8y+1=0 A.CIRCLE B.ELLIPSE C. HYPERBOLA D.PARABOLA answer:PARABOLA solut

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: `Identify each equation carefully. Choose the correct answer. SHOW YOUR SOLUTION.Thank you 1.y^2+6x+8y+1=0 A.CIRCLE B.ELLIPSE C. HYPERBOLA D.PARABOLA answer:PARABOLA solut      Log On


   

Question 1191098: `Identify each equation carefully. Choose the correct answer.
SHOW YOUR SOLUTION.Thank you
1.y^2+6x+8y+1=0
A.CIRCLE B.ELLIPSE C. HYPERBOLA D.PARABOLA
answer:PARABOLA
solution:
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y%5E2%2B6x%2B8y%2B1=0
y%5E2%2B8y=-6x-1
%28y%5E2%2B8y%2Bb%5E2%29-b%5E2=-6x-1
%28y%5E2%2B8y%2B4%5E2%29-4%5E2=-6x-1
%28y%2B4%29%5E2-16=-6x-1
%28y%2B4%29%5E2=-6x-1%2B16
%28y%2B4%29%5E2=-6x%2B15


answer: parabola (opens left)





Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The equation has a y^2 term but no x^2 term, so the equation is of a parabola.

ANSWER: D. PARABOLA