Question 13 If i = √-1, which graph shows - 4 + 2i correctly on the plane at Point Z?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Question 13**

If \( i = \sqrt{-1} \), which graph shows \(-4 + 2i\) correctly on the plane at Point Z?

**Graph (A):**

- The graph is a coordinate plane with the horizontal axis labeled as "real" and the vertical axis labeled as "imaginary."
- The real axis ranges from -8 to 8, and the imaginary axis ranges from -8 to 8.
- Point Z is located at the coordinates \(-2, 0\), which does not represent \(-4 + 2i\).

**Graph (B):**

- Similar to Graph A, this is a coordinate plane with the horizontal axis labeled as "real" and the vertical axis labeled as "imaginary."
- The real axis ranges from -8 to 8, and the imaginary axis ranges from -8 to 8.
- Point Z is placed at the coordinates \(-4, 2\), which correctly represents the complex number \(-4 + 2i\).
Transcribed Image Text:**Question 13** If \( i = \sqrt{-1} \), which graph shows \(-4 + 2i\) correctly on the plane at Point Z? **Graph (A):** - The graph is a coordinate plane with the horizontal axis labeled as "real" and the vertical axis labeled as "imaginary." - The real axis ranges from -8 to 8, and the imaginary axis ranges from -8 to 8. - Point Z is located at the coordinates \(-2, 0\), which does not represent \(-4 + 2i\). **Graph (B):** - Similar to Graph A, this is a coordinate plane with the horizontal axis labeled as "real" and the vertical axis labeled as "imaginary." - The real axis ranges from -8 to 8, and the imaginary axis ranges from -8 to 8. - Point Z is placed at the coordinates \(-4, 2\), which correctly represents the complex number \(-4 + 2i\).
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