SOLUTION: The question states, "Identify the curve and find the characteristics listed. then sketch the curve." x^2 + (y-4)^2= 64 center radius (x+3)^2 + (y+6)^2 = 49 center raidus

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Question 668467: The question states, "Identify the curve and find the characteristics listed. then sketch the curve."
x^2 + (y-4)^2= 64 center radius
(x+3)^2 + (y+6)^2 = 49 center raidus eccentricity


someone help! the book doesnt really explain how to do this?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi, Standard form is the quideline
Standard Form of an Equation of a Circle is
where Pt(h,k) is the center and r is the radius
x^2 + (y-4)^2= 64 center(0,4) radius = 8
(x+3)^2 + (y+6)^2 = 49 center(-3,-6) radius = 7 eccentricity = 0
· At eccentricity = 0 we get a circle
· For 0 < eccentricity < 1 we get an ellipse
· for eccentricity = 1 we get a parabola
· for eccentricity > 1 we get a hyperbola
· for infinite eccentricity we get a line

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