Question

What transformation change the graph of f(x) to the graph of g(x)?

f(x)=x^2
g(x)=(x+3)^2-7

Answer 1

we are given

`f(x)=x^2`

and

`g(x)=(x+3)^2-7`

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