The graph that represents z and -2z is as shown below.
What is complex number?
"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is real part of a complex number?
"For a complex number x + iy, 'x' represents the real part."
What is imaginary part of a complex number?
"For a complex number x + iy, 'iy' represents the imaginary part of complex number."
For given question,
We have been given a complex number z = -2 + 2i
The real part of the complex number is -2 and imaginary part is 2i
The coordinates would be (-2, 2)
This number lies in the second quadrant.
Now, consider the complex number -2z
⇒ -2z = -2(-2 + 2i)
⇒ -2z = 4 - 4i
The real part of complex number -2z is 4 and the imaginary part is -4i.
The coordinates of the complex number 4 - 4i would be (4, -4)
Therefore, the graph that represents z and -2z is as shown below.
Learn more about the complex numbers here:
brainly.com/question/17162901
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