$\frac{(x+1)^2}{16} + \frac{(y-2)^2}{9} = 1.$
I just started conics, but I thought you would multiply both sides by $16$ and then $9$ and then expand, which would get you $x^2 +y^2+2x-4y+5$.
Both signs are the same, but the foci is supposed to be: $(−1 \pm \sqrt{7},2)$, which I don't get.
I thought it was supposed to be a circle. both squared variables are multiplied by the same number and have the same signs.
I tried to identify it off of:
Are both variables squared? No: It's a parabola. Yes: Go to the next test.... Do the squared terms have opposite signs? Yes: It's an hyperbola. No: Go to the next test.... Are the squared terms multiplied by the same number? Yes: It's a circle. No: It's an ellipse.
Gotten from purplemath: http://www.purplemath.com/modules/conics.htm