SOLUTION: x^2-y^2=16

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Question 980092: x^2-y^2=16
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-y%5E2=16
x%5E2%2F16-y%5E2%2F16=16%2F16
x%5E2%2F4%5E2-y%5E2%2F4%5E2=1=> you have hyperbola
if you compare it to %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, you can see that h=0 and k=0 (so, the center is at origin), a=4, and b=4
center: (0,+0)
foci :
(-4sqrt%282%29, 0) and (4sqrt%282%29, 0) or
(-5.7, 0) and (5.7, 0)
vertices: (-4,+0) and (4, 0)
semimajor axis length a=4
semiminor axis length b=4
eccentricity e=+sqrt%282%29 or e=1.41
asymptotes +y+=+x+ and y+=+-x