Construct a linear fractional transformation that takes the given points z T(z) = and 23 Z₁ Z₂₁ Z₁ = 1₁ Z₂ = 1₁ 23 = -1; W₁ = −1, W₂ = 0, W3 = 4 onto the given points w '1' W₂¹ and w₂, respectively.

Please answer correctly this time

Please perform all the transformations step by step, thank you.

Here are some transformation rules. For each rule, describe whether the transformation is a rigid motion, a dilation, or neither. а. (х, у) — (2х, у+2) b. (х, у) — (2х, 2у) c. (x, y) → (x + 2, y + 2) d. (x, у) — (х — 2, у) Match the rule on the left with its correct description on the right.