Question

What transformations change the graph of f(x) to the graph of g(x)?
f(x) = x^2
g(x) = (x+3)^2-7
A) the graph of g is the graph of f translated to the right 3 units and up 7 units
B) the graph of g is the graph of f translated to the left 3 units and down 7 units
C) the graph of g is the graph of f translated up 3 units and to the left 7 units
D) the graph of g is the graph of f translated down 3 units and to the right 7 units

Answer 1

(x+3) means it has been shifted to the left
-7 means it has been shifted down
so, I guess B is the answer you want.

recall that (y-k) = f(x-h) means f(x) has been shifted in the positive directions by h and k.