Question

1. Graph the image of this figure after a dilation with a scale factor of 3 centered at the origin.

2. Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

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

Answer 1

Given figure shows graph of the given statment.

To graph the image of the figure after a dilation with different scale factors and centers, follow the given steps for each case.

To graph the image of the figure after a dilation with a scale factor of 3 centered at the origin, multiply the x-coordinates and y-coordinates of each point by 3. For example, if the original point is (2, 4), the new point would be (6, 12). Connect the new points to form the image.

To graph the image of the figure after a dilation with a scale factor of 1/3 centered at the origin, divide the x-coordinates and y-coordinates of each point by 3. For example, if the original point is (6, 12), the new point would be (2, 4). Connect the new points to form the image.

To graph the image of the figure after a dilation with a scale factor of 2 centered at (2, 2), multiply the x-coordinates and y-coordinates of each point by 2 and then add 2 to the x-coordinate and 2 to the y-coordinate. For example, if the original point is (3, 5), the new point would be (8, 12). Connect the new points to form the image.

Answer 2

1. Each point moves 3 times as far from the origin as it was.

2. Each point moves to 1/3 its previous distance from the origin.

3. Each point moves twice as far from (2, 2) as it was.