Draw a single plot showing the parabola and where the roots are in relation to it.
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Draw a single plot showing the parabola and where the roots are in relation to it.
Hello, shawsend!
I don't know what they mean by "a single plot."
Since the roots are complex, how are we to graph them?
Quote:
Draw a single plot showing the parabola
and where the roots are in relation to it.
The roots are: .
Where are they? . . . Well, they are not on the plane
If we had an axis coming out of the plane,
. . the graph might look like this:
Code:y
 *

* *
* *
 * *
 *
 :
+   *     x
/ /
/ *
/ (2,0,1)
i/
One root is on the "floor" at (2,0,1).
The other is (2,0,1), one unit "behind" the plane.
. . . nicer please, as in a nice illustration which clearly and unambiguously depicts the parabola, the (complex) zeros, and their relationship to one another as an educational tool to help students make the connection between the realvalued function and it's complex counterpart.