For z is equal to negative 2 plus 2 i , which graph represents z and negative 2 z ?

Answer

A

Image with description A coordinate plane with a horizontal axis labeled real and a vertical axis labeled imaginary. The axes are labeled from negative 6 to 6 in increments of 2 with grid lines every 1 unit. A point labeled z is plotted at negative 2 comma 2. A point labeled negative 2 z is plotted at negative 1 comma negative 1.

B

Image with description A coordinate plane with a horizontal axis labeled real and a vertical axis labeled imaginary. The axes are labeled from negative 6 to 6 in increments of 2 with grid lines every 1 unit. A point labeled z is plotted at negative 2 comma 2. A point labeled negative 2 z is plotted at 4 comma negative 4.

C

Image with description A coordinate plane with a horizontal axis labeled real and a vertical axis labeled imaginary. The axes are labeled from negative 6 to 6 in increments of 2 with grid lines every 1 unit. A point labeled z is plotted at negative 2 comma 2. A point labeled negative 2 z is plotted at 1 comma negative 1.

D

Image with description A coordinate plane with a horizontal axis labeled real and a vertical axis labeled imaginary. The axes are labeled from negative 6 to 6 in increments of 2 with grid lines every 1 unit. A point labeled z is plotted at negative 2 comma 2. A point labeled negative 2 z is plotted at negative 4 comma negative 4.

Explanation

The complex number z = −2 + 2i is plotted at (−2, 2), with the real part on the horizontal axis and the imaginary part on the vertical axis. Multiplying by −2 gives −2z = −2(−2 + 2i) = 4 − 4i, so its coordinates are (4, −4). Choice B shows −2z at (4, −4).

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Multiply and Divide Complex Numbers — Quiz

For z is equal to negative 2 plus 2 i , which graph represents z and negative 2 z ?

Explanation

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