Question

What is the center of the ellipse defined by the equation (x+8)^2/36 + (y-7)^2/9=1?

Answer 1

Put

x+8 = X y-7 = Y

so the New equation becomes

X^2 / 36 + Y^2/9 = 1

with Centre (0,0) ----> X=0 Y=0


so

x+8 = X y-7 = Y

x = -8 y = 7

So centre (-8,7)