Question

On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation. DO, -½ of Y =

Answer 1

(-3/2, -1)

Explanation:

Answer 2

`(-(3)/(2),-1)`

Explanation:

From the graph in the attachment Y has coordinates:Y(3,2)

The transformation rule for a dilation with a scale factor k about the origin is:

`(x,y)\to (kx,ky)`

In this case we have
`k=-(1)/(2)`

We substitute the coordinates and
`k=-(1)/(2)` to get:

`Y(3,2)\to Y'(-(1)/(2)*3,-(1)/(2)*2)`

This simplifies to:

`Y(3,2)\to Y'(-(3)/(2),-1)`

The first choice is correct.