shows the image of (D2 Ry-axis)(4, -3)?yy4(4,-3)(4,-3)-6-6-8yy6.-4(4,-3)4(4,-3)66-8RePIC COLLAGE4.4.4.do

Answered: shows the image of (D2 • Ry-axis)(4,…

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shows the image of (D2 • Ry-axis)(4, -3)?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 22E

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Question

shows the image of (D2 Ry-axis)(4, -3)?
y
y
4
(4,-3)
(4,-3)
-6
-6
-8
y
y
6.
-4
(4,-3)
4
(4,-3)
6
6
-8
Re
PIC COLLAGE
4.
4.
4.
do

Expert Solution

Step 1

$(D_{2} \circ R_{y - a x i s}) (4, - 3)$ this means $(4, - 3)$ will be reflected over the y-axis. And then it will be dilated by 2.

The formula for reflection over the $y$ -axis is : $R_{y - a x i s} (x, y) \to (- x, y)$ .

The formula for dilation by $k$ is: $D_{k} (x, y) = (k x, k y)$ .

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