Hi

Find the equation for the hyperbola with:

vertices at (-1,0),(1,0)(opens right and left) and asymptote of the line y=3x

  x^2/1^2 - y^2/b^2 = 1   Center(0,0) and  a = 1

y = 3x that is b/a = 3  b = 3

 





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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