Question

Write an equation of the graph: a y = |x| translated half a unit to the left

Answer 1

y=|x+1/2|
If you want to put something left or right, go in the absolute value function
+ means to the left (just remember that, we did it in quadratics)
- means to the right (ok)

Answer 2

To translate a unit to the left, you will add a value to x. Since we want to translate the graph by 0.5 units, the value is 0.5. Add this to x:

$|x+0.5|$

The equation will be |x+0.5|.