[tex]y=-x^2+12x-32[/tex]
the roots are the values of x when y=0
[tex]-x^2+12x-32=0[/tex]
the roots are
x=4
x=8
the points are
(4,0)
(8,0)
the vertex is in y = 4, x=6
(6,4)
other points could be y=2 we have also two values for x
x=4.58
x=7.4
the points are
(4.58,2)
(7.4,2)
green points are the roots
(4,0)
(8,0)
red points are the other points
(4.58,2)
(7.4,2)
the yellow point is the vertex
(6,4)
