The transformation (x,y) →(-2x,-2y) can be achieved by a dilation followed by an isometry. Find that dilation and the isometry. Question 6 options: The dilation with center at (0,-2) and scale factor 1 followed by a translation to (-x, -y). The dilation with center at (x,y) and scale factor -2 followed by a 90 clockwise rotation about (x,y) The dilation with center at (-2x, -2y) and scale factor -2 followed by a 90 counterclockwise rotation about (-2x, -2y). None of these The dilation with center at (-2,0) and scale factor 2 followed by a half turn about the origin.
The transformation (x,y) →(-2x,-2y) can be achieved by a dilation followed by an isometry. Find that dilation and the isometry. Question 6 options: The dilation with center at (0,-2) and scale factor 1 followed by a translation to (-x, -y). The dilation with center at (x,y) and scale factor -2 followed by a 90 clockwise rotation about (x,y) The dilation with center at (-2x, -2y) and scale factor -2 followed by a 90 counterclockwise rotation about (-2x, -2y). None of these The dilation with center at (-2,0) and scale factor 2 followed by a half turn about the origin.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
Question
The transformation (x,y) →(-2x,-2y) can be achieved by a dilation followed by an isometry. Find that dilation and the isometry.
Question 6 options:
|
The dilation with center at (0,-2) and scale factor 1 followed by a translation to (-x, -y). |
|
The dilation with center at (x,y) and scale factor -2 followed by a 90 clockwise rotation about (x,y) |
|
The dilation with center at (-2x, -2y) and scale factor -2 followed by a 90 counterclockwise rotation about (-2x, -2y). |
|
None of these |
|
The dilation with center at (-2,0) and scale factor 2 followed by a half turn about the origin. |
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