Answer:
The correct options are 2, 3 and 6.
Step-by-step explanation:
The given function is

It is an upward parabola because the leading coefficient is positive.
The vertex of an upward parabola is the minimum value, therefore option 1 is incorrect.
Write the above function in vertex form.

If a polynomial is
then we add
, to make it perfect square.
Here b=8 so we have to add
.

... (1)
the vertex form of a parabola is
... (2)
Where (h,k) is vertex, axis of symmetry is x=h, domain all real numbers, range y>k. Function is decreasing over (–∞, h) and the function is increasing over (h,∞).
From (1) and (2), we get

The vertex of the parabola is (-4,-4), axis of symmetry is x=-4, domain all real numbers, range y>-4. Function is decreasing over (–∞, -4) and the function is increasing over (-4,∞).
Substitute f(x)=0 in the given function, to find the x-intercepts.





Therefore the x-intercepts are at (–6, 0) and (–2, 0).
Thus the correct options are 2, 3 and 6.