How do you identity if the equation #x^2-8y+y^2+11=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it?
2 Answers
Nov 9, 2016
Circle
Explanation:
Modify the equation by completing the square for
#x^2 + (y-4)^2 = 5#
The equation above describes a circle of radius
graph{x^2 + (y-4)^2 = 5 [-9.67, 10.33, -1.6, 8.4]}
Nov 9, 2016
the eqn of a circle is
when multiplied and simplified out the eqn can be rearranged to the form
note;
1) the coefficients of
2) there are no
Ellipses are of the form
hyperbolas are of the form
again no