Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.

Function transformation involves changing the position of a function.

The graph of g(x) is the graph of f(x) translated 2 units right, and

The function is given as:

The graph of g(x) passes through (2,1) and (0,-5).

Start by calculating the slope (m)

So, we have:

The equation is then calculated as:

So, we have:

By comparing and

The graph of f(x) is shifted 2 units to the right

Read more about function transformation at:

link

Translation of 2 units to the right

g(x) = f(x-2)

Step-by-step explanation:

Given the original function f (x) = 3x +1, we can get the function plotted by translating the graph 2 units to the right.

As seen in the attached image, the original function f(x) is shown in orange, while the translation 2 units to the right is the function in blue. Notice that in the original function the crossing of the x-axis occurs at x = -1/3, and translating the function to the right 2 units moves the crossing two full units to the right, making it now cross the x-axis at x = 5/3

Such translation in 2 units to the right corresponds to a subtraction of 2 units from the x-variable in the original functional expression:

g (x) = f (x - 2) g (x) = 3(x - 2) + 1

Hope it helped u if yes mark me BRAINLIEST

TYSM

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

hi there!

the answer will be d: 2