G(x) would involve a translation left 1 and up 1.
g(x) is written in vertex form, which is
g(x) = a(x-h)²+k, where (h, k) is the vertex. Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9). Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.
3+1=4, 4+2=6, 6+3=9, 9+4=13, 13+5=18, 18+6=24, 24+7=31. Your answer is 31. Each time , the number you add by is increased by 1