Question

#6. translate △qrs if q(4,1), r(1,-2), s(2,3) by the rule (x,y)→(x - 3, y - 4). what are the coordinates of the new triangle? q r s

Explanation:

Step1: Translate point Q

For \(Q(4,1)\), using the rule \((x,y)\to(x - 3,y - 4)\).
\(x\) - coordinate: \(4-3 = 1\), \(y\) - coordinate: \(1 - 4=-3\). So \(Q'(1,-3)\).

Step2: Translate point R

For \(R(1,-2)\), using the rule \((x,y)\to(x - 3,y - 4)\).
\(x\) - coordinate: \(1-3=-2\), \(y\) - coordinate: \(-2-4=-6\). So \(R'(-2,-6)\).

Step3: Translate point S

For \(S(2,3)\), using the rule \((x,y)\to(x - 3,y - 4)\).
\(x\) - coordinate: \(2-3=-1\), \(y\) - coordinate: \(3 - 4=-1\). So \(S'(-1,-1)\).

Answer:

\(Q'(1,-3)\), \(R'(-2,-6)\), \(S'(-1,-1)\)