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
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
{{{(x-1)^2/(7/4)-(y-1)^2/(7/4)=1}}}
Given equation is a hyperbola with horizontal transverse axis and center at (1,1)
Its standard form of equation: {{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}, (h,k)=(x,y) coordinates of center