How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x? the graph of g(x) is a translation of f(x) 2 units left. the graph of g(x) is a translation of f(x) 2 units right. the graph of g(x) is a translation of f(x) 2 units up. the graph of g(x) is a translation of f(x) 2 units down.

Remember that when we add or subtract a number  to a function, we move the function left or right depending on the sign of ; if  is positive, you are moving the function  units to the left, but if  is negative, you are moving the function  units to the right.
We can infer for our problem that , so we are moving the function 2 units to the right.

The correct answer is: The graph of g(x) is a translation of f(x) 2 units right.

The graph of g(x) is a translation of f(x) 2 units down.

Step-by-step explanation:

The parent function is

The tranformed function is

If you compare both equation, you would notice that the functions has an additional characteristic, the term -2.

This terms means that the function is two units below the function .

Therefore, the right answer is the last choice: The graph of g(x) is a translation of f(x) 2 units down.

Remeber:

If you add a number to the whole function, the graph will move vertically. If such number is negative it'll move downside.

1. 0.3 •4 is the same as 4 groups of 0.32. 7•0.8 is the same as 7 groups of 0.83. it increases by 0.5 every time, so 0.5x4 it increases by 0.9 every time, so 0.9x5. 0.9•12=10.86. 0.47•5=2.35i can finish the next ones in a separate post

0.69 yards

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)