Hi,

(x+3)^2+(y+1)^2=4   ||Circle with C(-3,-1) and radius of 2







 (y+2)^2=16px-1)   ||The standard form is , where  the focus is (h,k + p)

parabola opening to the right, C(1,-2) and focus(5,-2) 4p=16, p = 4





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

Standard Form of an Equation of an Hyperbola is   opening right or left

 where Pt(h,k) is a center  with vertices 'a' units right and left of center.

 Asymptotes passing thru the center with slope = ± b/a 

foci being ± sqrt(a^2 + b^2) from center  along axis of symmetry y = b



     ||Ellipse with C(2,-3) V(2,0) and V(2,-6) 



 

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