Question

PLEASE ANSWER!!! 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.

Answer 1

Answer:

The graph g(x) is translated 6 units down, and g(x)= 3x - 5

Step-by-step explanation:

Originally the y intercept is at +1, in the graph you can see the y intercept changed to -5 (which moved downwards), therefore, the difference between +1 and -5 is 6. Putting it all together, g(x)= 3x - 5. 3x stays the same in both equations since it’s still the same slope. Good luck!

Answer 2

Answer:

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