Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
l(□,□)
m(□,□)
n(□,□)

Explanation:

Step1: Find original coordinates

From the graph, \(L(-2,-1)\), \(M(-1,2)\), \(N(0,-1)\)

Step2: Apply dilation formula

For a dilation centered at the origin with scale factor \(k = 4\), the formula is \((x,y)\to(kx,ky)\)

• For \(L(-2,-1)\): \(L'=4\times(-2),4\times(-1)=(-8,-4)\)
• For \(M(-1,2)\): \(M'=4\times(-1),4\times2=(-4,8)\)
• For \(N(0,-1)\): \(N'=4\times0,4\times(-1)=(0,-4)\)

Answer:

\(L'(-8,-4)\), \(M'(-4,8)\), \(N'(0,-4)\)