In order to dilate the coordinates of a point, we want to make it times bigger. In order to do this, we can multiply the x and y values by our scale factor, a. This is called <u>mapping</u>. What it does is it basically multiplied our points by a specific number so that we end up with a figure that is (the scale factor) times bigger than the original.
So in order to make an expression for this, we multiply the x and y coordinates by a. So we have ax and ay.
A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.
If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).
So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of a:
