A triangle has coordinates F(−2, 3), G(−4, 1), and H(−2, −2). The triangle is translated and its image has coordinates F’(0, 0), G’(−2, −2), and H’(0, −5).

What is the correct rule for the translation?
(x, y) Right-arrow (x + 2, y + 3)
(x, y) Right-arrow (x + 2, y – 3)
(x, y) Right-arrow(x – 2, y + 3)
(x, y) Right-arrow (x – 3, y+ 2)

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Answer:

B  is the answer. (x, y) Right-arrow (x + 2, y – 3)

Step-by-step explanation:

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The rule for the translation of FGH to F'G'H' is (x + y) ⇒ (x + 2, y - 3).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is translated a units right and b units down, the new point is at A'(x + a, y - b)

The rule for the translation of FGH to F'G'H' is (x + y) ⇒ (x + 2, y - 3).

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