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

Question

10.5 units left

y = |x – 10.5|

y = |x + 10.5|

y = |x| + 10.5

y = |x| – 10.5

Answer 1

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

The correct equation for this translation is:

\[ y = |x + 10.5| \]

So the correct answer from the options you provided is:

y = |x + 10.5|