Polar Form of Complex Numbers — Quiz

Question 1 • Precalculus

Which graph represents negative 4 plus 3 i ?

Answer

Image with description On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (negative 4, 3).

Image with description On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (negative 3, 4).

Image with description On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is at (3, negative 4).

Image with description 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 written as a + bi, the real part is the horizontal coordinate and the coefficient of i is the vertical coordinate. In −4 + 3i, the real part is −4 and the imaginary coefficient is 3, so the point is (−4, 3). That matches the graph with a point at (negative 4, 3).

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