A designer uses computer software to create a logo. Shape A is enlarged by scale factor 2, centre (0, 0), to give shape B. Shape B is then translated by the vector (3, -4) to give shape C. The combined transformation from A to C can be written as a single enlargement followed by a translation. What is the translation vector?

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Question

A designer uses computer software to create a logo. Shape A is enlarged by scale factor 2, centre (0, 0), to give shape B. Shape B is then translated by the vector (3, -4) to give shape C. The combined transformation from A to C can be written as a single enlargement followed by a translation. What is the translation vector?

Accepted Answer

(3, -4) — Award 1 mark for correct vector. When an enlargement centre origin is followed by a translation, the translation vector remains unchanged because the enlargement does not affect the subsequent translation. B is incorrect because this wrongly applies the scale factor to the translation vector. C is incorrect because this divides the vector by the scale factor. D is incorrect because it describes a process, not a vector.

Answer

(3, -4) then enlarged

Answer

(6, -8)

Answer

(1.5, -2)

Answer

(3, -4)

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