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

Question

asked May 8, 2020 31.1k views

2 Answers

Andrzej Bobak · Answer 1 · 2020-05-15T06:49:33+0000

Answer:

(-(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.