AnswersPGHS Precalculus BPolar Form of Complex NumbersQuestion 8
8
QuizMultiple Choice

Polar Form of Complex Numbers

Question 8 • *PGHS Precalculus B

Which graph represents –4 + 3i?

Answer
A
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (negative 4, 3).
B
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (negative 3, 4).
C
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (3, negative 4).
D
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (4, negative 3).

Explanation

For a complex number, the real part is the x-coordinate and the coefficient of i is the y-coordinate. In −4 + 3i, the real part is −4 and the imaginary coefficient is 3, so the point is (−4, 3). That is choice A.

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