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

Answer:

$(-\frac{3}{2},-1)$

Step-by-step 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 $k=-\frac{1}{2}$

We substitute the coordinates and $k=-\frac{1}{2}$ to get:

$Y(3,2)\to Y'(-\frac{1}{2}*3,-\frac{1}{2}*2)$

This simplifies to:

$Y(3,2)\to Y'(-\frac{3}{2},-1)$

The first choice is correct.