10. GCF is 3
11. GCF is 4
12. GCF is 16
13. That the numbers are prime
:)
Alrigty
in form

the vertex is (h,k)
the constant, a, deterimines the size and direction
if a>0, then the parabola opens up and the vertex is the minimum
if a<0 then the parabola opens down and the vertex is the maximum
so we are given

1>0 so it opens up
vertex is (-2,4)
the vertex is a minimum
the vertex is (-2,4) and the graph has a minimum
Proof with explanation:
We know that the sum of first 'n' terms of a Geometric progression is given by

where
a = first term of G.P
r is the common ratio
'n' is the number of terms
Thus the sum of 'n' terms is

Now the sum of first '2n' terms is

Now the sum of terms from
to
term is 
Thus the ratio becomes

3x + 2 > 2
3x > 2 - 2
3x > 0
x > 0
3x < = 6
x < = 6
0 < x < = 6