Question

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

Use the polygon tool to graph the dilated figure.

Answer 1

It is correct!

Explanation:

Answer 2

See attachment

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