The answer to the question obviously

D) (x,y) → (x+4, y-6)

Step-by-step explanation:

Explanation:-

Given that the points are X(2,3), Y(5,6), and Z(8,6)

The vertical translation down 'd' units then  transformed to

(x,y) → (x, y-d)

The vertical translation down '6' units then  transformed to

(x,y) → (x, y-6)

X(2,3)→ X¹( 2, 3-6)

Y(5,6)→Y¹(5,6-6)

Z(8,6)→Z¹(8,6-6)

Again

The Horizontal translation  'c' units right then  transformed to

(x,y) → (x+C, y-d)

The  Horizontal translation '4' units right then  transformed to

(x,y) → (x+4, y-6)

The new co-ordinates

X(2,3)→ X¹( 2+4, 3-6)→X¹(6,-3)

Y(5,6)→Y¹(5+4,6-6)→ Y¹(9,0)

Z(8,6)→Z¹(8+4,6-6)→Z¹(12,0)

Final -

The new co-ordinates are

X¹(6,-3) ,Y¹(9,0), Z¹(12,0)

the answer is a

step-by-step explanation:

x+14

step-by-step explanation: