Hi

5. ellipse with center at (0,0) vertex (-4,0) and co-vertex (0,3) 

   

6. circle with center at (-1,2) and radius 4.  

7. parabola with vertex at (0,0) and directrix x = -3 

      y^2 = (3/4)x    4p = 3     p = 3/4

8. hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0)

  y^2/4 - x^2/5 = 1    c = = 3   a = 





Standard Form of an Equation of a Circle is  

where Pt(h,k) is the center and r is the radius



 Standard Form of an Equation of an Ellipse is 

where Pt(h,k) is the center and a and b  are the respective vertices distances from center.



Standard Form of an Equation of an Hyperbola is   where Pt(h,k) is a center  with vertices 'a' units right and left of center.

Standard Form of an Equation of an Hyperbola opening up and down is:

   where Pt(h,k) is a center  with vertices 'b' units up and down from center.



Using the vertex form of a parabola,  where(h,k) is the vertex

 The standard form is , where  the focus is (h,k + p) 

 

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