Question

Using an algebraic rule, describe a translation 2 units to the left.

Answer 1

For a point in the x-y plane,
(x,y)->(x-2, y)

For a function f(x), f(x)->f(x-h) where h is displacement to the right.
=>
f(x)->f(x+2)

Answer 2

Answer:
point (x,y) translated 2 units to the left will give the point (x-2,y)
(x,y) = (x-2,y)

Step-by-step explanation:
We will apply the translation on a given point.
Suppose that we have a point with coordinates (x,y).
We want to translate this point 2 units to the left. This means that we will move this point 2 units to the left.
Doing this, we will find that:
the x-value of the coordinate is decreased by 2
the y-value of the coordinate did not change as no translation occurred in the vertical axis.

Therefore:
a point (x,y) can be translated two units to the left to be (x-2 , y)

Hope this helps :)