1. Representing Functions
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The x-coordinate represents the horizontal shift (starting from the origin) and the y-coordinate represents the vertical shift.
Quadrant: none
Graph:
An ( x, y) ordered pair is plotted in a coordinate plane by finding the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis. For the given point, M( 2, 0), this means tracing two units in the positive horizontal direction, then no units in either of the vertical directions.
From the graph, we can see that the given point, M( 2, 0), does not lie in any of the quadrants. If you need to determine the quadrant in which a point lies without graphing, you need to observe the signs of the x- and y-coordinates.
| Quadrant | x-coordinate | y-coordinate |
|---|---|---|
| Quadrant I | Positive | Positive |
| Quadrant II | Negative | Positive |
| Quadrant III | Negative | Negative |
| Quadrant IV | Positive | Negative |
The x-coordinate of our given point is positive and the y-coordinate is 0, so it's neither positive nor negative. With this information, we can tell that M(2, 0) does not lie in any of the quadrants.
