SOLUTION: What is the conic section represented here and give its standard form: x^2+2x+y-1=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the conic section represented here and give its standard form: x^2+2x+y-1=0      Log On


   



Question 892945: What is the conic section represented here and give its standard form: x^2+2x+y-1=0
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x to power of 2;
y to power of 1;
PARABOLA.

Solve for y and if needed, complete the square....
y=-x%5E2-2x%2B1
y=-1%28x%5E2%2B2x-1%29
Use the term, %282%2F2%29%5E2=1.
y=-1%28x%5E2%2B2x%2B1-1-1%29-----add and subtract 1 inside the parentheses.
y=-1%28%28x%2B1%29%5E2-2%29
highlight%28y=-%28x%2B1%29%5E2%2B2%29