Answer
see graph below
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Work Step by Step
See p. 602, Graphing Complex Numbers
The complex plane is determined by the real axis and the imaginary axis.
To graph the complex number a + bi, we plot the ordered pair of numbers (a,b) in this plane
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$z=-1+i\sqrt{3}$
Plot $(-1,\sqrt{3})$ in the complex plane$, \sqrt{3}\approx 1.732$
$2z=2(-1+i\sqrt{3})=-2+2i \sqrt{3}$
Plot $(-2,2\sqrt{3})$ in the complex plane
$-z=-(-1+i\sqrt{3})=1-i\sqrt{3}$
Plot $(1,-\sqrt{3})$ in the complex plane
$\displaystyle \frac{1}{2}z=\frac{1}{2}(-1+i\sqrt{3})=-\frac{1}{2}+\frac{\sqrt{3}}{2}i$
Plot $(-\displaystyle \frac{1}{2},\frac{\sqrt{3}}{2})$ in the complex plane