SOLUTION: Can anyone help me? The directions are: Choose the correct conic section to fit each equation. Is it a Circle, Ellipse, Parabola, or Hyperbola? 1) x^2 + y^2 = 16 2) (

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can anyone help me? The directions are: Choose the correct conic section to fit each equation. Is it a Circle, Ellipse, Parabola, or Hyperbola? 1) x^2 + y^2 = 16 2) (      Log On


   

Question 202415: Can anyone help me? The directions are:
Choose the correct conic section to fit each equation. Is it a Circle, Ellipse, Parabola, or Hyperbola?

1) x^2 + y^2 = 16

2) (x - 8)^2 + (y - 12)^2 = 25

3) (x^2/9) + (y^2/4) = 1

4) y = (1/8 x^2)

5) x = (1/16 y^2)

6) (x^2/16) - (y^2/4) = 1
7) x^2 - 4y^2 = 100
8) x^2/36 - y^2 = 1

Thanks in advance for all your help. :)
~Sarah~
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the two variables are raised to the same power, then it is NOT a parabola. One of the variables squared and the other not squared IS a parabola.

If not a parabola, then

If the sign between the two variables is negative, it is a hyperbola

If the sign is positive and the coefficients on the variables are unequal, it is an ellipse

If the sign is positive and the coefficients are equal, then it is a circle.


John