Identify the graph of 4 + 2i.
(1 point)
Responses
graph a
Image with alt text: graph a
graph b
Image with alt text: graph b
graph c
Image with alt text: graph c
graph d
Image with alt text: graph b
To identify the graph of 4 + 2i, we need to understand that the given expression represents a complex number. In the complex plane, the real part of the complex number is represented on the x-axis and the imaginary part is represented on the y-axis.
In this case, the real part is 4 and the imaginary part is 2i. To represent this complex number on the graph, we first locate the real part (4) on the x-axis. Then, we locate the imaginary part (2i) on the y-axis. Since the imaginary part is positive, we move upwards on the y-axis.
By locating the real part (4) on the x-axis and the imaginary part (2i) on the y-axis, we find the point (4, 2) in the complex plane.
Now, to answer the question, we need to choose the correct graph that represents the point (4, 2). Let's examine the options.
- graph a: The point (4, 2) is not shown on this graph.
- graph b: The point (4, 2) is not shown on this graph.
- graph c: The point (4, 2) is shown on this graph.
- graph d: The point (4, 2) is not shown on this graph.
Based on this analysis, the correct answer is graph c.
To graph the complex number 4 + 2i, we need to plot it on the complex plane. The complex plane consists of two axes, the real axis (horizontal) and the imaginary axis (vertical).
The real part of 4 + 2i is 4, which corresponds to the horizontal position on the complex plane. The imaginary part is 2, which corresponds to the vertical position.
Therefore, the graph of 4 + 2i would be represented by point A on the complex plane, where A is located 4 units to the right on the real axis and 2 units up on the imaginary axis.
Unfortunately, the description of the graph options (a, b, c, and d) is missing, so we cannot provide a specific answer based on the given choices.