The graph of a curve C is given below. -5 5 0 5 -5 a. If D is the transformation of curve C created by a vertical expansion by a factor of 2, horizontal compression by a factor of 2, and a vertical translation of 1 unit upward, sketch the curve D on the same grid above. 3' b. Describe a transformation to C where the curve becomes the shape of a circle. List any invariant point(s) under the transformation in b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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=. The graph of a curve C is given below.
-5
5
a.
If D is the transformation of curve C created by a vertical expansion by a factor of 2,
horizontal compression by a factor of , and a vertical translation of 1 unit upward,
sketch the curve D on the same grid above.
b. Describe a transformation to C where the curve becomes the shape of a circle.
C. List any invariant point(s) under the transformation in b.
Transcribed Image Text:=. The graph of a curve C is given below. -5 5 a. If D is the transformation of curve C created by a vertical expansion by a factor of 2, horizontal compression by a factor of , and a vertical translation of 1 unit upward, sketch the curve D on the same grid above. b. Describe a transformation to C where the curve becomes the shape of a circle. C. List any invariant point(s) under the transformation in b.
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