To find the dilation of 2 for a shape centered at the origin (0,0) and given its new center is (1,4), we need to multiply the x and y coordinates of each point in the shape by 2 and then add the coordinates of the new center (1,4).
Let's say we have a point with coordinates (x,y) in the original shape. The corresponding point in the dilated shape would have coordinates (2x + 1, 2y + 4).
For example, if the original shape has a point with coordinates (2,1), the dilated shape would have a point with coordinates (2*2 + 1, 2*1 + 4), which simplifies to (5,6).
By applying this transformation to every point in the original shape, you can obtain the coordinates of the corresponding points in the dilated shape.
Find the dilation of 2 for the given shape centered at the origin (1,4)
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