Question

What transformation makes point (-7,4) to (4,1)

Answer 1

The transformation that changes the point (-7,4) to (4,1) is a translation, where the point is moved 11 units to the right and 3 units down.

Step-by-step explanation:

To determine the transformation that changes the point (-7,4) to (4,1), we can consider both translations and transformations in the coordinate plane.

Analysis of the points shows that the x-coordinate has been increased by 11 units (-7 + 11 = 4) and the y-coordinate has been decreased by 3 units (4 - 3 = 1). This suggests a translation, which is a transformation that slides every point of a figure the same distance in the same direction.

Step-by-Step Explanation:

1. Determine the change in the x-coordinate: 4 - (-7) = 11 (x has been increased by 11 units).
2. Determine the change in the y-coordinate: 1 - 4 = -3 (y has been decreased by 3 units).
3. This shows the transformation is a translation because the point has moved 11 units to the right and 3 units down.