Question

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

Answer 1

Answer:

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

Step-by-step 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 $y=|3x-1|-5$.