x^2 -12y = 12x -12 is a graph of a(n)

a) Ellipse

b) circle

c) parabola

d) hyperbola

X^2 - 12Y = 12X - 12.

X^2 - 12X - 12Y = -12,
Divide both sides by -12:
-X^2/12 + X + Y = 1,
Y = X^2/12 - X + 1.

c. PARABOLA.