Question

Reason that y=f(x+a) is a horizontal translation by -a and not +a

Answer 1

Given:

`y=f(x+a)`

y = f(x + a) is a horizontal translation left by a units.

Hence, the coordinate is transformed as shown;

`(x,y)\rightarrow(x-a,y)`

Hence, since it is a horizontal translation to the left, it is translated by -a units from the original x-coordinate given.