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Which of the following represents the translation of A (1, -2) along the vector <-3, 2> and then the vector < 0, -4>.?

Which of the following represents the translation of A (1, -2) along the vector &lt-example-1
User Hardmath
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1 Answer

5 votes

The correct option is the last one: A(1, -2) A'(-2, 0) A''(-2, -4)

To translate a figure along a vector, we add coordinate to coordinate.

The figure is A(1, -2), the first vector is <-3, 2> then:


A^(\prime)(1-3,-2+2)=A^(\prime)(-2,0)

From A'(-2, 0) we move along <0, -4>


A^(\prime)^(\prime)(-2+0,0-4)=A^(\prime)^(\prime)(-2,-4)

Thus, the correct answer is the last option

User Emoacht
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