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Consider the transformation W=(1+i)z+3-4i. Consider the rectangle ABCD with vertices: A:(1+i); B:(-1+i) ; C:(-1-i), D:(1-i). Do the...

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Advance Math

Consider the transformation W=(1+i)z+3-4i. Consider therectangle ABCD with vertices: A:(1+i); B:(-1+i) ; C:(-1-i),D:(1-i). Do the following

a. Find the image A'B'C'D' of this rectangle under thistransformation

b. Plot both rectangles on graph

c. How do the areas of the two rectangles compare?

d. Describe the transformation geometrically?

e. What are the fixed points of the transformation?

Answer & Explanation Solved by verified expert
4.3 Ratings (962 Votes)
transformation W1iz34iA1i B1i C1i D1ia Find the image ABCD of this rectangle under thistransformationimage ABCDA 1i1i34i 32iB    See Answer
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