Write as an absolute value.
-
A) |z + 2|
C) z - 2
D) z + 2

Question

Write as an absolute value.
-
A) |z + 2| 
C) z - 2 
D) z + 2

Quizplus · Accepted Answer

The notation for absolute value is | | and since the given value is already formatted with underscores, we can assume it represents a complex number in the form a+bi. Therefore, the absolute value would be |a+2+bi|, which matches with choice A, |z+2|. The other choices do not represent absolute values. The absolute value of a complex number is the distance from that number to the origin on the complex plane. The given value contains "z + 2," indicating that the complex number is being displaced 2 units to the left of the origin. Therefore, the absolute value would be |z + 2|.

Write as an Absolute Value