Graph the function table the x-intercepts, vertex, and axis of symmetry

y=3 (x + 2) (x + 6)

See below in bold.

Step-by-step explanation:

y = 3 (x + 2) (x + 6)

3 (x + 2) (x + 6) = 0

x = - 2, - 6.

The x - intercepts are (-2,0) and (-6, 0).

Convert to vertex form:

y=3 (x + 2) (x + 6)

y = 3 (x^2 + 8x + 12)

y = 3 (x^2 + 8x) + 36

y = 3[ (x + 4) ^2 - 16] + 36

y = 3 (x + 4) ^2 - 12.

So the vertex is at (-4, - 12) and

the axis of symmetry x = - 4.