Identify the zeros, vertex and axis of symmetry of

y=-1/3(x+7)(x+1)

x^2 + 8 x + 1 = -3y

x^2 + 8 x = -3y - 1

x^2 + 8 x + 16 = -3 y + 15

(x+4)^2 = -3 (y-5)

vertex at (-4,5)
symmetric about x = -4

y = 0 when (x+4)^2 = 15

x+4 = +/- sqrt 15
x = -4 +/- sqrt 15 are the zeros