Question

What is the image of (1, -8) after a dilation by a scale factor of 5 centered at the origin?

Answer 1

If you are dilating a coordinate (a, b) by the scale factor "z", the new coordinate will be (za, zb).

It simply means that we multiply each cordinate, x and y, by the scale factor given.

Here,

The coordinate is (1, -8) and hte scale factor is "5". Thus, we multiply each coordinate by "5". So, it becomes:

$\begin{gathered} (5\times1,5\times-8) \\ =(5,-40) \end{gathered}$

The image is at (5, - 40)