SOLUTION: find the coordinates of the centre, foci, vertices and the equation of the asymptotes then graph the equation: {{{x^2 -y^2 =8x -12}}}

Question 874059: find the coordinates of the centre, foci, vertices and the equation of the asymptotes then graph the equation:

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

centre (4,0)
vertices (2,0) and (6,0)
foci c = (2+2√2, 0) and (2-2√2, 0)
equation of the asymptotes: m = � 1, y = 4x + 4, y = -4x - 4
Standard Form of an Equation of an Hyperbola opening right and left is:
with C(h,k) and vertices 'a' units right and left of center, 2a the length of the transverse axis. e = c/a.
Foci are = c- units right and left of center along y = k
& Asymptotes Lines passing thru C(h,k), with slopes m = � b/a

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