Functions and graphs?

Question

http://i33.tinypic.com/20jreap.jpg

Pretend the x-coordinate of A is n, h(n) = the length of AB is 4-n^2

What would h(n) be if f(x) went up to 7 and g(x) moved 3 to the left?

Answer 1

then g(x) = ( x+3)² and |AB| = 7 - (x+3)²