Question

A submarine, located at point S, was hidden at a secret place on a coordinate plane before it

moved to its current position. The movement of the submarine is described by the translation x,y→x+4,y-6.

Answer 1

The submarine moves 4 units right and 6 units down to get to its current position

Explanation:

Given

`(x,y) \to (x + 4, y - 6)`

Required

Describe the movement of the submarine from the initial to the current position

The rule of translation is as follows:

`x \to x + a` --- This implies right translation by a units

`y \to y -b` --- This implies down translation by b units

So, we have:

`x \to x + a`

`x \to x + 4`

By comparison;

`a =4`

`y \to y -b`

`y \to y - 6`

By comparison:

`b = 6`

Hence, the submarine moves 4 units right and 6 units down to get to its current position