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Find a formula for a transformation of the complex plane that carries the disk {z: |z-5| < 3} to the disk {z: |z-2| < 8}

  • Math - ,

    f(z) = z-3 translates the disc 3 units to the left.

    f(z) = 8/5 * (z-3) magnifies the shifted disc to have radius 8 instead of 5

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