Question

the graph of this equation will be which conic section? x^2+y^2=13

parabola
circle
hyperbola
ellipse

Answer 1

a circle

Answer 2

you can solve for y and plug it into wolfram alpha if you want. or plug in the equation and it'll assume for f(x)

Answer 3

http://www.wolframalpha.com/input/?i=x%5E2%2By%5E2%3D13

Answer 4

or conceptually you can look at the equation x^2 + y^2 and think about on a cartesian coordinate system you when one variable approaches zero is counts for much less while the other is approaching its maximum. also since it is an exponent that has a positive number in the exponent, you may lose a negative value when it is squared (2^2 = 4 = -2^2) so there will be two values for each variable. making it not a function but a pretty good circle.

Answer 5

the constant it is equal to determines the size of the function but since it does not effect the variables directly the system is centered at the origin.

Answer 6

hurrah for wolframalpha