Question

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

Answer 1

ANSWER

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

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 :

$(x,y)\to( - \frac{1}{2} x, - \frac{1}{2} y)$

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

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

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

The first choice is correct.