Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
q(box, box)
r(box, box)
s(box, box)

Explanation:

Step1: Find original coordinates

From the graph, the original coordinates are \(Q(-2,-2)\), \(R(-2,2)\), \(S(2,-2)\).

Step2: Apply dilation formula

The formula for dilation centered at the origin with scale factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = 4\).
For \(Q(-2,-2)\): \((-2\times4,-2\times4)=(-8,-8)\)
For \(R(-2,2)\): \((-2\times4,2\times4)=(-8,8)\)
For \(S(2,-2)\): \((2\times4,-2\times4)=(8,-8)\)

Answer:

\(Q(-8,-8)\), \(R(-8,8)\), \(S(8,-8)\)