7.

Question

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

10.5 units left

Answer 1

To translate the graph of the function \( y = |x| \) horizontally, you need to modify the argument of the absolute value function.

To translate the graph 10.5 units to the left, you can replace \( x \) with \( x + 10.5 \).

Thus, the equation for the translated graph is:

\[ y = |x + 10.5| \]

This equation represents the original graph shifted 10.5 units to the left.