In Problem, proceed as in Example 1 or Example 2 to find the image S′ of the set S under t...

In Problem, proceed as in Example 1 or Example 2 to find the image S′ of the set S under the given complex mapping w = f(z).

 is the horizontal line y = 3

EXAMPLE 1 Image of a Half-Plane under w = iz

FIGURE 2.2.2 The mapping w = iz

EXAMPLE 2 Image of a Line under w = z2

FIGURE 2.2.3 The mapping w = z2