Question

The linear function f (x) and g(x) are represented on the graph where g(x) is a tranfomation of f(x) I need help with part A part B and Part C

Answer 1

see below

Explanation:

Part A

We can shift f(x) to the left or we can shift f(x) up to make it become g(x)

Part B

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

Using the point ( 2,8) for f(x) and ( 0,8) for g(x)

k is 2 units

g(x) = f(x+2)

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

Using the point ( 0,-2) for f(x) and ( 0,8) for g(x)

The difference between -2 and 8 is 10

k = 10

g(x) = f(x) + 10

Part C

for the shift to the left g(x) = f(x+2)

for the shift up g(x) = f(x) + 10