Find the dilation of 2 for the given shape centered at the origin (1,4)

Answer 1

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.