Identify and correct the error in writing the function $g$ whose graph represents the indicated transformations of the graph of $f$ .

A note marked wrong reads f of x equal the absolute value of x; translation 3 units to the right followed by a translation 2 units up. The equation at the bottom reads g of x equals start absolute value x plus 3 end absolute value plus 2.

Translating a graph to the right requires subtraction, not addition; $g(x)=\left|x-3\right|+2$
Translating a graph to the right requires subtraction, not addition; g of x is equal to start absolute value x minus 3 end absolute value plus 2

The numbers are reversed; $g\left(x\right)=\left|x+2\right|+3$
The numbers are reversed; g of x is equal to start absolute value x plus 2 end absolute value plus 3

Translating a graph to up requires subtraction, not addition; $g\left(x\right)=\left|x+3\right|-2$
Translating a graph to up requires subtraction, not addition; g of x is equal to start absolute value x plus 3 end absolute value minus 2

The numbers are reversed and translating a graph to the right requires subtraction, not addition; $g\left(x\right)=\left|x-2\right|+3$