f(x)=x^2-4x-12
factor
(x-6) (x+2)
The zeros are at 6, -2
to find the vertex find the axis of symetry
the axis of symmerty is at (-2+6)/2=4/2 =2
x=2
to find the y coordinate, put it into the equation
y =2^2 -4(2) -12
= 4-8-12
= 4-20
= -16
vertex (2,-16)
largest x intercept x=6
y intercept -12