Question

Write an equation for each equation of y=|x| 6 units left A. Y=|x| -6 B. Y=|x-6| C. Y=|x| + 6 Y=|x+6|

Answer 1

You need to remember the following Transformation rules for functions:

1. When:

`f(x+h)`

The function is shifted left "h" units.

2. When:

`f(x-h)`

The function is shifted right "h" units.

In this case you have the following function:

`y=|x|`

If the function is translated (or shifted) 6 units left, you can identify that the transformation will have this form:

`f(x+h)`

Where:

`h=6`

Then, the equation of this function is:

`y=|x+6|`

The answer is: Last option.