Given the functions f(x) = 1/x-3 and g(x) = 1/x+4 + 3. Which statement describes the transformation of the graph of the function F onto the graph of the function G?

Question

The graph shifts 2 units right and 7 units down

The graph shifts 2 units left and 7 units up

The graph shifts 7 units left and 2 units up

The graph shifts 7 units right and 2 units down

Answer 1

If the parentheses are as follows:

f(x) = 1/(x-3)

g(x)=1(x+4) + 3

then the change in x from f to g is -7, and the change in y is 3. So the hyperbola shifts left 7 and up 3. Unfortunately, this is not a choice! The closest answer is C, but it should be 3 units up, not 2.