Question

Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule (x, y) → (x + 8, y + 5):

Figure EFGHK is drawn on a 4 quadrant coordinate grid with vertices at E 3, negative 4. F is at 5, 1. G is at 3, 5. H is at negative 4, 3. K is at negative 2, negative 3.

Which coordinates will best represent point H′?

(4, 8)
(1, 11)
(12, 8)
(9, 11)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates of H′, we apply the transformation rule (x, y) → (x + 8, y + 5) to the coordinates of H: (−4, 3).

Adding 8 to the x-coordinate and 5 to the y-coordinate, we get:
H′: (−4 + 8, 3 + 5) = (4, 8)

Therefore, the coordinates (4, 8) best represent point H′ after the transformation.