Question

Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.

Use the polygon tool to graph the dilated figure.

Answer 1

Answer:

The vertices of image are (-48,48), (24,24) and (72,96).

Step-by-step explanation:

From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).

The scale factor is 12 and the dilation is about the origin.

If a figure is dilated about the origin with scale factor k, then

$(x,y)\rightarrow (kx,ky)$

Since the scale factor is 12.

$(x,y)\rightarrow (12x,12y)$

The vertices of image are

$(-4,4)\rightarrow (-48,48)$

$(2,2)\rightarrow (24,24)$

$(6,8)\rightarrow (72,96)$

Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.

Answer 2

Here is the answer, good luck on the test