Question

Graph the image of this figure after a dilation with a scale factor of 2 centered at (-3, 1)

Answer 1

Answer:

See attachment

Step-by-step explanation:

The given triangle has coordinates (-3,3),(1,4), and (2,2).

If we dilate with a scale factor of 2 centered at (-3, 1), then we use the rule:

$(2x,2y)\to(x'-3,y'+1)$

To find the image of (-3,3), we substitute x=-3, and y=3

$(2*-3,2*3)\to(x'-3,y'+1)$

This implies that: $x'-3=-6$ and $y'+1=6$

This implies that: $x'=-6+3=-3, and\:y'=6-1=5$

Hence the image of (-3,3) is (-3,5)

We repeat the same process to obtain:

$(1,4)\to(5,7)$

$(2,2)\to (7,3)$

We now plot the image points and join the vertices with a straight edge.

See attachment for graph