Question

1 ptsQuestion 22The point A(8,-6) has been transformed using the composition T-15) • r(180,0). Where is A?0 (71)o 17, -1)0 (-7,1)0 (-7, -1)+ Previous

Answer 1

You have to perform two transformations the first one is a 180º rotation with respect to the origin r(180º,O) and the second one is a translation of one unit left and 5 units up T(-1,5)

Given point A(8,-6)

To make a 180º rotation you have to invert the signs of both coordinates, following the rule:

`(x,y)\to(-x,-y)`

For point A, the rotation is the following:

`A(8,-6)\to A^(\prime)(-8,--6)=(-8,6)`

Once you rotate the point, you have to perform the translation T(-1,5). The rule for the translation can be expressed as follows

`(x,y)\to(x-1,y+5)`

So, the translation of point (-8,6) is:

`A^(\prime)(-8,6)\to A^(\doubleprime)(-8-1,6+5)=(-9,11)`