we are given
[tex]f(x)=x^2[/tex]
and
[tex]g(x)=(x+3)^2-7[/tex]
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