garciabrianna51
Answered

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Consider the function f(x) =3^x and the function g which is shown below.
g(x) = f(x)- 2 = 3^x- 2
How will the graph of g differ from the graph of 12
ОА.
The graph of g is the graph of fshifted 2 units up.
O B.
The graph of gis the graph of fshifted 2 units to the left.
O C.
The graph of g is the graph of fshifted 2 units to the right.
OD.
The graph of g is the graph of fshifted 2 units down.

Sagot :

28aiyanagbush

Answer:

The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

facundo3141592

The correct option is:

"The graph of g is the graph of f shifted 2 units down."

How will g differ to f?

Remember that a vertical translation of a function f(x) is written as:

g(x) = f(x) + N.

In this particular case, we have:

g(x) = f(x) - 2

So, we have a vertical translation of -2 units, this means that we are moving the whole graph 2 units downwards. So the correct option is:

"The graph of g is the graph of f shifted 2 units down."

If you want to learn more about translations:

https://brainly.com/question/24850937

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