The answer you are looking for is (1, -8)
remember that: x=[(-b/2a)]
and that the problem is set up as y=ax^2+bx+c
calculate:
x=[-8/2(-4)]
x=[-8/-8]
x=1
then:
y=(-4)*1^2+(8*1)-12
y=(-4)+8-12
y=4-12
y=(-8)
(1, -8)