Question

The composition D Subscript 0, three-halves (x, y) is a composition of D Subscript 0, one-half (x, y) is applied to △RST to create the image of △R"S"T", which is not shown. What are the coordinates of point S"?
(negative three-halves, nine-halves)

(negative nine-halves, fifteen-halves)

(negative fifteen-halves, 0)

(nine-halves, negative three-halves)

Answer 1

Dilation is a transformation that changes the size of a shape.

The coordinates of point S" is: $(-\frac{3}{2},\frac{9}{2})$

The transformation rule is given as:

$D_0,_\frac{3}{2}(x,y)*D_0,_\frac{1}{2} (x,y)$

This above rule means that:

• The shape is dilated by 3/2
• The resulting shape is then dilated by 1/2

From the complete question, the coordinate of S is:

$S=(-2,6)$

Apply the first transformation; i.e. multiply S by 3/2

So, we have:

$S'=\frac{3}{2}$ × $(-2,6)$

$S'=(-3,9)$

Apply the next transformation; i.e. multiply S' by 1/2

So, we have:

$S''=\frac{1}{2}$ × $(-3,9)$

$S''=(-\frac{3}{2},\frac{9}{2})$

Hence, the coordinates of point S" is:

Read more about dilations at:

brainly.com/question/13176891