1. Let f(x)=x^2 If g(x) is the graph of f(x) shifted up 3 units, write a formula for g(x) g(x)=

2. Let f(x)=x4 If g(x)g(x) is the graph of f(x) shifted left 3 units, write a formula for g(x) g(x)=

3. The volume of the hot-air balloon from the previous problem is V(r)=4/3r^3 If the radius is given by the function r(t)=5/6t^3, find the volume V of the balloon as it relates to time. V(t)=