Answer:
Step-by-step explanation:
The graph of g(x) is the same as that of f(x), EXCEPT that the graph of f(x) has been translated upward by 2 units.
The function is added and with a positive number so the function will shift towards the left , Option D is the correct answer.
A function can be defined as an algebraic expression which states relation between an independent and a dependent variable.
A function always comes with a defined range and domain.
It is given in the question that
There are two functions
g(x), f(x)
and they are related as
g(x)=f(x)+2.
and it has been asked that which statement given in the option describes it the best.
A. The graph of g(x) is the graph of f(x) shifted 2 units to the right.
B.The graph of g(x) is the graph of f(x) shifted 2 units down.
C.The graph of g(x) is the graph of f(x) shifted 2 units up.
D. The graph of g(x) is the graph of f(x) shifted 2 units to the left.
When a function is added , subtracted or multiplied it shifts or translates, and the new function is called the translated function
As the function is added and with a positive number so the function will shift towards the left.
Therefore , D is the answer the graph of G (x) is the graph of f(x) shifted 2 units to the left.
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