Question

When it is transformed to

What is the effect on the graph of f (2)
g(x) = 1 +112
A. The graph of f(x) is shifted 11 units to the left.
B. The graph of f(x) is shifted 11 units to the right.
C. The graph of f(x) is shifted 11 units up.
D. The graph of f(x) is shifted 11 units down.

Answer 1

C. The graph of f(x) is shifted 11 units up.

Explanation:

Given

`g(x) = f(x) + 11`

Required

Interpret g(x)

When a function is shifted up in b units, the rule is:

`(x,y) \to (x,y+b)`

Replace b with 11

`(x,y) \to (x,y+11)`

Replace y with f(x)

`(x,f(x)) \to (x,f(x)+11)`

So, we have:

`g(x) = f(x) + 11`

Hence; f(x) is shifted 11 units up.