Which algebraic representation shows a dilation? (x, y) → (x+2, y+2) (x, y) → (2x, 2y) (x, y) → (y, -x) (x, y) → (-x, y)

Option B: is the algebraic representation that shows dilation.

Explanation:

From the options, we need to determine the algebraic representation that shows a dilation.

Option A:

The translation shows that the graph is shifted 2 units to the left and 2 units up.

Thus, the translation is not dilation.

Hence, Option A is not the correct answer.

Option B:

The translation shows that the graph is enlarged or reduced by a factor of 2.

Since, the dilation of a transformation produces the same image but of different size.

Hence, the translation is dilation.

Hence, Option B is the correct answer.

Option C:

The translation is the rotation of the figure under 270° counterclockwise about the origin.

Thus, the translation is not dilation.

Hence, Option C is not the correct answer.

Option D:

The translation shows that the graph is reflected across the y - axis.

Thus, the translation is not dilation.

Hence, Option D is not the correct answer.

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step-by-step explanation:

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