Question

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

6.5 units up


y + 6.5 = |x|


y = |x| + 6.5


y = |6.5x|


y = |x| – 6.5

Answer 1

To translate the function \( y = |x| \) upward by 6.5 units, you simply add 6.5 to the entire function. Therefore, the correct equation after the translation is:

\[
y = |x| + 6.5
\]

So the answer is:
**\( y = |x| + 6.5 \)**