Write an equation for the translation of y = |x| left 0.3 units.

Question

Write an equation for the translation of y = |x| left 0.3 units.

Answer 1

If a>0 then if you translate a function f(x) a units to the right it becomes f(x-a)

If you translate it a units to the left it becomes f (x+a)

So in this case f(x) = |x| and a = 0.3 so it becomes f(x+0.3) =|x + 0.3|

Answer 2

To translate left the number will go inside the absolute value but you have to change the sign to get

y = l x + 0.3 l