Which algebraic rule describes the transformation? a) (x, y) → (x + 2, y + 5) b) (x, y) → (x − 2, y + 5) c) (x, y) → (x + 2, y − 5) d) (x, y) → (x − 2, y − 5)

D is correct.

Step-by-step explanation:

In the given figure two rectangle MNOP and M'N'O'P'

To choose correct transformation rule from MNOP to M'N'O'P'

So, we change for point M

M(-2,3) → M'(-4,-2)

If shift M 2 unit left

M(-2,3) → M(-2-2,3)

Now, shift 5 unit down

M(-2-2,3) → M(-4,-2) ⇔M'(-4,-2)

So,

(x,y) → (x-2,y-5)

Rule: (x,y) → (x-2,y-5)

Using this rule get MNOP to M'N'O'P'

step-by-step explanation: