Question

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)

Answer 1

D

Explanation:

The original figure was was moved 2 units to the left (-2), and 5 units down (-5).

Answer 2

D is correct.

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'