SOLUTION: Please help me Write the equation in standard form for a hyperbola centered at (h,k) and identify the center and vertices. x2 - 2x - y2 + 2y = 4 Thank you so much!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me Write the equation in standard form for a hyperbola centered at (h,k) and identify the center and vertices. x2 - 2x - y2 + 2y = 4 Thank you so much!      Log On


   

Question 813717: Please help me Write the equation in standard form for a hyperbola centered at (h,k) and identify the center and vertices.
x2 - 2x - y2 + 2y = 4
Thank you so much!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation in standard form for a hyperbola centered at (h,k) and identify the center and vertices.
x2 - 2x - y2 + 2y = 4
***
complete the square:
(x^2-2x+1)-(y^2-2y+1)=4+1-1
(x-1)^2-(y-1)^2=4
(x-1)^2/4-(y-1)^2/4=1
Given hyperbola has a horizontal transverse axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1
center: (1,1)
a^2=4
a=2
vertices: (1±a,1)=(1±2,1)=(-1,1) and (3,1)