Question

The graph of y=∣x∣ is shifted to the left by

6 units.
What is the equation of the new graph?

Answer 1

Answer:y=|x+6|

Explanation:

Answer 2

`y=|x+6|`

Explanation:

We begin with the equation
`y=|x|`

For this translation, we need to first ask, are we moving it horizontally or vertically. In this case, it is horizontally. This means that we will need to add something within the absolute value signs. When we need to translate something that is within these absolute value signs, we have add the opposite of what we want to happen. In this case, 6 left is -6. This means that we must add 6.

This would give us

`y=|x+6|`