What transformation change the graph of f(x) to the graph of g(x)? f(x)=x^2 g(x)=(x+3)^2-7

we are given

and

Transformation-1:

we can see that in place of x , we have x+3

whenever we have x+a

it means that function is shifted left side by 'a' units

so, in x+3 ,

f(x) is shifted to left side by 3 units

Transformation-2:

we can see that

y-value is subtracted by 7 units

whenever we have f(x)-a

it means that function is shifted downward  by 'a' units

f(x) is shifted to downward  by 7 units

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4