Question

On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation.

D O, -½ of Y =

(-3/2, -1)
(3/2, 1)
(5/2, 3/2)

Answer 1

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

Step-by-step explanation

From the graph, the coordinates of Y are:

`(3,2)`

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.

The rule for the dilation is :

`(x,y)\to( - (1)/(2) x, - (1)/(2) y)`

To find the coordinates of Y', we plug the coordinates of Y.

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

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

The first choice is correct.