Question

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

Answer 1

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