Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10