SOLUTION: What is the center of the hyperbola? (x-2)^2 / 9 - (y-5)^2/ 4=1 Please show me how you find this I'm not learning well...Thank you.

 

Hi

 Center(2,5) Vertices (-1,5) and (5,5)

See below descriptions of various conics





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 opening right andd left 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)