Question

Write the expression for when you translate the graph of y = |3x|− 5 one unit to the right.

Answer 1

`y=|3x-3|-5`

Explanation:

Notice that we are requested to perform a horizontal shift of on unit to the right. Recall that a horizontal shift of one unit to the right involves the operation of subtracting from the variable "x" one unit.

Therefore, this implies the following mathematical transformation to the variable "x":

`y=|3(x-1)|-5\\y=|3x-3|-5`

where we simply completed distributive property to get rid of the parenthesis inside the absolute value.