4.

Question

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

10.5 units left

Answer 1

To translate the function \( y = |x| \) 10.5 units to the left, you need to replace \( x \) in the absolute value function with \( x + 10.5 \).

The equation for the translated function will be:

\[ y = |x + 10.5| \]

This reflects the translation of the graph of the absolute value function to the left by 10.5 units.