Describe specifically the formal transformation that occurred when the flood moved
your house. A flood moves your house exactly 4 blocks to the left and 2 blocks down
The formal transformation that occurred when the flood moved your house can be described as a translation in the Cartesian coordinate system. It moved the house 4 blocks to the left and 2 blocks down.
In mathematical terms, a translation is a transformation that shifts an object (in this case, your house) from one location to another without altering its shape or orientation. The translation is defined by the amount of horizontal and vertical movement.
Let's assume the original position of your house was at point (x, y) in the Cartesian coordinate system. After the flood, the new position of your house can be represented as (x-4, y-2).
This means that the flood caused your house to move 4 units to the left on the x-axis and 2 units down on the y-axis. The negative sign indicates the leftward and downward directions.
To better visualize this transformation, imagine a grid system where every square represents a block. Initially, your house was located at a given point on the grid. After the flood, the house is shifted 4 blocks to the left and 2 blocks down, resulting in a new position.
Overall, the formal transformation in this scenario is a translation by (-4, -2) on the Cartesian coordinate system, representing the displacement caused by the flood.