are the following mappings transformations of the complex plane: (a). z --> 2z+1 (b). x + yi --> x^2+y^2i

Describe the set of points z in the complex plane that satisfy the equation|Re (1 + iz)| = 3. show full working

Describe the reflection of △FGH△FGH with vertices F(−3, 2), G(−4, −1)F(-3, 2), G(-4, -1), and H(−6, −1)H(-6, -1), to its image △F′G′H△F′G′H′ with vertices F′(2, −3), G′(−1, −4)F′(2, -3), G′(-1, -4), and H′(−1, −6)H′(-1, -6). Use decimals, if necessary. (x, y) → ( , )    ---- I don't know how to put it into coordinates.

How do you solve composition of transformations specifically for shapes?

Describe the reflection of △FGH△FGH with vertices F(−3, 2), G(−4, −1)F(-3, 2), G(-4, -1), and H(−6, −1)H(-6, -1), to its image △F′G′H△F′G′H′ with vertices F′(2, −3), G′(−1, −4)F′(2, -3), G′(-1, -4), and H′(−1, −6)H′(-1, -6). Use decimals, if necessary. (x, y) ----- I don't know how to represent reflecctions as coordinates.

The vertices of a square are H(0, 2), I(2, 0), J(0, –2), and K(-2,0). Which statements are true of the image of HIJK after the given composition of transformations? Select all that apply. Step 1: (x, y) → (-y, x) Step 2: (x, у) — (Зх, Зу) H" (-2,0) HIJKE H'I'J'K' H'TJ'K'~ H"I"J"K" J" (6, 0) Y = xis a line of symmetry for the HIJK and H"I"J"K"