Questions: Patrick is using his computer to insert an image into his term paper. One figure is represented by rectangle RSTU. If Patrick decides to move the rectangle one unit right and four units down, which of the following shows the preimage and image on the graph?

Solution Steps

The pre-image rectangle RSTU has the following coordinates: R(-1, 1), S(-1,-1), T(1, -1), and U(1, 1).

The problem states that the rectangle moves one unit right and four units down. This means we add 1 to the x-coordinate and subtract 4 from the y-coordinate of each vertex.

R' = (-1 + 1, 1 - 4) = (0, -3) S' = (-1 + 1, -1 - 4) = (0, -5) T' = (1 + 1, -1 - 4) = (2, -5) U' = (1 + 1, 1 - 4) = (2, -3)

The correct graph will show the original rectangle RSTU and the translated rectangle R'S'T'U' with the coordinates calculated above. This corresponds to the fourth graph.

Final Answer