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 t…

Question

asked Aug 1, 2022 148k views

1 Answer

Bear John · Answer 1 · 2022-08-07T14:47:41+0000

Answer:

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.