Question

Graph the function table the x-intercepts, vertex, and axis of symmetry y=3(x + 2) (x + 6)

Answer 1

Answer:

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.