Hi

3. x2 - y2 = 1  C(0,0)  and Vertices (1,0) and (-1,0)

c = Foci (1.414,0)&(-1.414,0)

4. y2 = -8x    Vertex(0,0)  4p = -8 p = -2 Focus (-2,0)





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 opening up or down, 

 where(h,k) is the vertex

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

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