Question

I need help ASAP this is for a test grade.

Answer 1

Dilation is a transformation, which is used to resize the object

In th given figure we have center at (-8, 2)

Scale factor= 2/3

then the coordinates after dilation id the product of the old coordinates with scale factor.

Center = (-8, 2)

So, dialation with scale 2/3 is

$\begin{gathered} \text{ Since, (-8,2) are the center then for the dialation coordinate} \\ \text{Dialation at x is : }\frac{3}{2}(-8) \\ \text{Dialation at x coordinate=}-12 \\ \text{for, y coordinate:} \\ \text{Dialation at y is : }\frac{3}{2}(2) \\ \text{Dialation at y is : }3 \end{gathered}$

So, the coordinate after dialation is (-8, 3)

K' = -8 anf P'=3