Write an equation for the translation of y = |x|.

Question

6 units left

y = |x + 6|

y = |x| – 6

y = |x| + 6

y = |x – 6|

Answer 1

To translate the graph of the function \( y = |x| \) 6 units to the left, you need to replace \( x \) with \( x + 6 \).

So, the equation for the translation of \( y = |x| \) 6 units to the left is:

\[ y = |x + 6| \]

Therefore, the correct option is:

y = |x + 6|.