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4. In the diagram at the right, the grid lines are spaced at 1 unit. The transformation illustrated at the right is a rotation through 90° plus a translation. (a) . single rotation about the point [a, b]. [Use your graphical intuition to check your answer. It is useful for parts (b) and (c).] Find a point [a, b] for which T can be obtained as a CS Scanned with CamScanner

4. In the diagram at the right, the grid lines are spaced at 1 unit. The transformation illustrated at the right is a rotation through 90° plus a translation. (a) . single rotation about the point [a, b]. [Use your graphical intuition to check your answer. It is useful for parts (b) and (c).] Find a point [a, b] for which T can be obtained as a CS Scanned with CamScanner

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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Question#04 c part Please provide detailed solution with explanation and justification asap to get a upvote for c part while using a part if needed
4. In the diagram at the right, the grid lines are spaced at 1 unit. The transformation illustrated at the right is a rotation through 90° plus a translation. (a) single rotation about the point [a, b]. [Use your graphical intuition to check your answer. It is useful for parts (b) and (c).] Find a point [a, b] for which T can be obtained as a CS Scanned with CamScanner
Transcribed Image Text:4. In the diagram at the right, the grid lines are spaced at 1 unit. The transformation illustrated at the right is a rotation through 90° plus a translation. (a) single rotation about the point [a, b]. [Use your graphical intuition to check your answer. It is useful for parts (b) and (c).] Find a point [a, b] for which T can be obtained as a CS Scanned with CamScanner
(c) Using the result of (a), find an affine transformation S that acts as a "square root" of T. That is, s(s(x)) = T(x) Either find a formula for S or describe it operationally in terms of rotations, translations, etc. Draw on the diagram below the image of the central square under S. CS Scanned with CamScanner
Transcribed Image Text:(c) Using the result of (a), find an affine transformation S that acts as a "square root" of T. That is, s(s(x)) = T(x) Either find a formula for S or describe it operationally in terms of rotations, translations, etc. Draw on the diagram below the image of the central square under S. CS Scanned with CamScanner
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