Question

the new figure after it has been dilated by a scale factor of 2.
original picture
new picture

Explanation:

Step1: Recall the dilation rule

When a figure is dilated by a scale factor \(k\), the coordinates \((x,y)\) of each point of the original figure are transformed to \((kx,ky)\). Here \(k = 2\).

Step2: Apply the dilation rule to each point

• For point \(A(-3,2)\):

After dilation, \(x=-3\times2=-6\), \(y = 2\times2=4\).

• For point \(B(0,0)\):

After dilation, \(x=0\times2 = 0\), \(y=0\times2=0\).

• For point \(C(-2,-3)\):

After dilation, \(x=-2\times2=-4\), \(y=-3\times2=-6\).

Answer:

\(x\)	\(y\)
\(0\)	\(0\)
\(-4\)	\(-6\)