Question

Quadlirateral rust has a vertex at r (1,5). What are the coordinates of r' after the translation (x,y) (x+1, y-1), followed by a dilation by a scale factor of 2, centered at the origin?

Answer 1

To find R' after the translation (x,y) → (x+1, y-1) and dilation by a scale factor of 2, the vertex coordinates change from R (1,5) to (2,4) due to the translation, and then to (4,8) after dilation.

Step-by-step explanation:

The student's question involves finding the coordinates of a vertex after a specific translation and dilation. The initial vertex, R, has coordinates (1,5). The first step involves translating R using the given rule (x, y) → (x+1, y-1), which yields R' with new coordinates (2,4). The second step involves a dilation with a scale factor of 2, centered at the origin, which will double the x and y coordinates of R', resulting in the final coordinates (4,8).