Question

What is the image point of (-2,-7)(−2,−7) after a translation right 4 units and down 2 units?

Answer 1

After translating the point (-2, -7) right 4 units and down 2 units, the image point becomes (2, -9).

Step-by-step explanation:

The student is asking about the image point after performing a translation on the point (-2, -7). When you translate a point to the right 4 units, you add 4 to the x-coordinate. Similarly, translating a point down 2 units means you subtract 2 from the y-coordinate. Therefore, starting with the point (-2, -7), after adding 4 to the x-coordinate and subtracting 2 from the y-coordinate, we get the new point (2,-9).

The new image point is found using the following steps:

1. Translate right 4 units: Add 4 to the x-coordinate (-2 + 4 = 2).
2. Translate down 2 units: Subtract 2 from the y-coordinate (-7 - 2 = -9).

The final image point is (2, -9).