Question

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

Answer 1

The expression is
`y=|3x-1|-5`.

Explanation:

A shift is a rigid translation in that it does not change the shape or size of the graph of the function. All that a shift will do is change the location of the graph.

A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged.

`f(x + k)` translates
`f (x)` left or right.

• if
  `k > 0`, the graph translates to the left k units.
• if
  `k < 0`, the graph translates to the right k units.

We need to write an expression for the the function
`f(x)=y=|3x|-5` when we translate it one unit to the right.

According with the definition of horizontal shift all we need to do is subtract -1 inside of the absolute value.

So, the expression is
`y=|3x-1|-5`.