Time 6:20 +35 mins time =

see below

Parts a,b,c are done for each transformation

Step-by-step explanation:

We can shift f(x) to g(x) by  shifting f(x) to the left

y = f(x + k) k > 0 moves it left

f(x) has a point at ( 2,8) and g(x) has a point at (0,8)

0 -2 = -2

We want to move it 2 units to the left so they become the same point

g(x) = f(x+2)

We can shift f(x) to g(x) by  shifting f(x) up

y = f(x) + k  

k > 0 moves it up

f(x) has a point at (0,-2) and g(x) has a point at (0,8)

8 - -2 = 8+2 = 10

We want to move it 10 units up

g(x) = f(x) + 10