SOLUTION: Identify conic section and identify whether the graph is parabola, ellipse, hyperbola, or a circle. 4x^2-8x=4(y^2-2y)+7

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Identify conic section and identify whether the graph is parabola, ellipse, hyperbola, or a circle. 4x^2-8x=4(y^2-2y)+7      Log On


   

Question 750957: Identify conic section and identify whether the graph is parabola, ellipse, hyperbola, or a circle.
4x^2-8x=4(y^2-2y)+7
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Identify conic section and identify whether the graph is parabola, ellipse, hyperbola, or a circle.
4x^2-8x=4(y^2-2y)+7
4x^2-8x-4(y^2-2y)=7
4(x^2-2x+1)-4(y^2-2y+1)=7+4-4
4(x-1)^2-4(y-1)^2=7
%28x-1%29%5E2%2F%287%2F4%29-%28y-1%29%5E2%2F%287%2F4%29=1
Given equation is a hyperbola with horizontal transverse axis and center at (1,1)
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center