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Discovery Lesson |z-z1|=n

Instructions for the graph below

1. Set n to 3. 2. Drag the point z around the screen. When it is black then . When it is red then 3. Find all the black points that satisfy 4. Repeat for

Describe the locus of points defined b

Explain why creates the shape you described in the previous question.

Instructions for the graph below

1. Move to the point 4+2i. 2. Set n to 3. 2. Drag the point z around the screen. When it is black then . When it is red then 3. Find all the black points that satisfy 4. Repeat for 5. Repeat for and

Describe the locus of points defined by

Explain why creates the shape you described in the previous question.

SOME QUESTIONS TO TRY NOW

Question 1

Question 2

Question 3

Question 4

Question 5