In the coordinate plane, AABC has vertices A(-4,6), B(2,6), and C(2.2). After dilation, ADEF is shown in the plane.
What is the scale factor and the center of dilation that maps AABC to ADEF?
The scale factor is 2 and the center of dilation is point B.
The scale factor is 2, and the center of dilation is the origin.
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O The scale factor is and the center of dilation is point B.
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The scale factor is and the center of dilation is the origin.
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  (d)  scale factor 1/2; center: the origin

Step-by-step explanation:

Consider point B(2, 6). That gets dilated to make point D(1, 3). These coordinates are different, so the center of dilation is not point B. The ratios of the coordinates of D to B are 1/2 and 3/6 = 1/2. This is the scale factor k. (The coordinates of other corresponding points also have the same ratio.)

  k = 1/2; dilation center: the origin

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)