Answer:
The submarine moves 4 units right and 6 units down to get to its current position
Step-by-step explanation:
Given
[tex](x,y) \to (x + 4, y - 6)[/tex]
Required
Describe the movement of the submarine from the initial to the current position
The rule of translation is as follows:
[tex]x \to x + a[/tex] --- This implies right translation by a units
[tex]y \to y -b[/tex] --- This implies down translation by b units
So, we have:
[tex]x \to x + a[/tex]
[tex]x \to x + 4[/tex]
By comparison;
[tex]a =4[/tex]
[tex]y \to y -b[/tex]
[tex]y \to y - 6[/tex]
By comparison:
[tex]b = 6[/tex]
Hence, the submarine moves 4 units right and 6 units down to get to its current position