Example Question - scale factor 3
Here are examples of questions we've helped users solve.
Dilation of a Point
The question is asking for the image of the point (6, -4) after a dilation by a scale factor of 3 centered at the origin. Dilation is a transformation that produces an image that is the same shape as the original but is a different size. When dilating a point from the origin, you multiply each coordinate by the scale factor. The original point is (6, -4), and the scale factor is 3, so you would multiply each coordinate of the point by 3: The x-coordinate: 6 * 3 = 18 The y-coordinate: -4 * 3 = -12 So the image of the point (6, -4) after the dilation is (18, -12).
Point Dilation by Scale Factor of 3
The question is asking for the image of the point (0, 6) after a dilation (a type of transformation that resizes objects) by a scale factor of 3, centered at the origin (0, 0). To perform the dilation, you multiply each coordinate of the original point by the scale factor. Since the point is (0, 6) and the scale factor is 3: - Multiply the x-coordinate by 3: 0 * 3 = 0 - Multiply the y-coordinate by 3: 6 * 3 = 18 So the image of the point (0, 6) after the dilation is (0, 18).
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