Question

find the coordinates of the figure with the given coordinates after the transformation on the plane.
preimage: j(-3,0), k(-2,4), l(-1,0)
image: triangle qrs, translation of jkl along the vector (5,-4)
q( , )
r( , )
s( , )
need help?

Explanation:

Step1: Translate point \(J(-3,0)\)

For the \(x\)-coordinate: \(-3 + 5=2\)
For the \(y\)-coordinate: \(0+( - 4)=-4\)
So \(Q(2,-4)\)

Step2: Translate point \(K(-2,4)\)

For the \(x\)-coordinate: \(-2 + 5 = 3\)
For the \(y\)-coordinate: \(4+( - 4)=0\)
So \(R(3,0)\)

Step3: Translate point \(L(-1,0)\)

For the \(x\)-coordinate: \(-1 + 5=4\)
For the \(y\)-coordinate: \(0+( - 4)=-4\)
So \(S(4,-4)\)

Answer:

\(Q(2,-4)\), \(R(3,0)\), \(S(4,-4)\)