Hey can you me posted picture of question

From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.

Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.

So,

G(x) = F(x+3) + 1

G(x) = (x+3)² + 1

Thus the correct answer is option C