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Triss [41]
3 years ago
7

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

Mathematics
1 answer:
Julli [10]3 years ago
6 0

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.

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