Question

if quadrilateral pqrs is the result of the transformation described by (x,y) -> (0.5x, 0.5y), what are the coordinates of point s?
(-2,-3)
(-2,-1.5)
(-3.5,-2.5)
(-4.5,-3.5)

Explanation:

Step1: Find the coordinates of Point S

From the graph, the coordinates of Point S are \((-4,-3)\).

Step2: Apply the transformation \((x,y)\to(0.5x,0.5y)\)

For the \(x\) - coordinate: \(0.5\times(-4)=-2\)
For the \(y\) - coordinate: \(0.5\times(-3)=-1.5\)

Answer:

\((-2, - 1.5)\)