You are just beginning your life as an adult and have bought a house in a new housing development. Your house is located at A (2,3), B (4,3), C (4,5), D (3,6), and E (2,5). A flood moves your house exactly 4 blocks to the left and 2 blocks down. Describe specifically the formal transformation that occurred when the flood moved your house.
The flood moved the house from its original location at A (2,3), B (4,3), C (4,5), D (3,6), and E (2,5) to a new location. To describe this formal transformation, we can use the translation transformation.
Translation is a transformation that shifts an object in a specific direction by a certain distance. In this case, the flood moved the house 4 blocks to the left (horizontal direction) and 2 blocks down (vertical direction).
For each point of the house, we will subtract 4 from the x-coordinate (left translation) and subtract 2 from the y-coordinate (down translation) to determine the new coordinates.
The new coordinates of the house after the flood moved it would be:
A' (-2, 1)
B' (0, 1)
C' (0, 3)
D' (-1, 4)
E' (-2, 3)
Therefore, the formal transformation that occurred when the flood moved the house is a translation of 4 blocks to the left and 2 blocks down.