Question

graph the image of parallelogram qrst after a dilation with a scale factor of 5, centered at the origin.

Explanation:

Step1: Identify original coordinates

From graph: \(Q(-3,1)\), \(R(0,1)\), \(S(1,2)\), \(T(-2,2)\)

Step2: Apply dilation rule

Multiply each coordinate by scale factor 5:
\(Q'(-3×5,1×5)=(-15,5)\), \(R'(0×5,1×5)=(0,5)\), \(S'(1×5,2×5)=(5,10)\), \(T'(-2×5,2×5)=(-10,10)\)

Step3: Plot image points

Graph \(Q'(-15,5)\), \(R'(0,5)\), \(S'(5,10)\), \(T'(-10,10)\) and connect.

Answer:

The image of parallelogram QRST after dilation has vertices at \(Q'(-15,5)\), \(R'(0,5)\), \(S'(5,10)\), \(T'(-10,10)\) (plot these points to form the dilated parallelogram).