y-intercept occurs at x=0, and x-intercept occurs at f(x) =0
f(x) = x^2 -12x+27
so, f(0) = 27
1) (0,27)
x^2 -12x+27 =0
x^2 - 9x -3x +27 =0
x(x-9)-3(x-9)=0
or (x-3)(x-9)=0
or x=3 or x =9
(2) (3,0) and (9,0)
g(x) = -6x^2+7x+20
g(0) = 20
(3) (0,20)
-6x^2 +7x+20 =0
Using quadratic formula we get:
x = -4/3 or x=5/2
(4) (-4/3,0) and (5/2,0)