Question

If point A (-5, 4) is transformed by the rule (x, y) → (x - 5, y + 3) and then reflected over the y-axis, what are the coordinates of A?

a) (8, -7)
b) (-8, -7)
c) (-8, 7)
d) (8, 7)

Answer 1

The coordinates of point A after the transformation and reflection are (10, 7).

Step-by-step explanation:

To find the coordinates of point A after the transformation and reflection, we can follow these steps:

1. Apply the transformation rule (x, y) → (x - 5, y + 3) to point A (-5, 4). The new coordinates will be (-5 - 5, 4 + 3) which simplifies to (-10, 7).
2. Reflect the transformed point over the y-axis. This means that the x-coordinate will change sign. So the final coordinates of point A will be (-(-10), 7), which simplifies to (10, 7).

Therefore, the coordinates of point A after the transformation and reflection are (10, 7).