Question

x^2-8x-y^2=-12
graph

Answer 1

Complete the square : x^2-8x -y^2=-12
x^2-8x+16 -y^2=-12+16
(x-4)^2-y^2=4
Divide both sides by 4
(x-4)^2/4-y^2/4=1
This is a hyperbola whose center is (4,0)