Find the angle through which the axes are rotated and sketch the graph.
Answer to Problem 28E
The angle through which the axes are rotated is
The graph is a parabola.
Explanation of Solution
Given:
Consider the following equation of the conic,
Solve the equation of conic as a quadratic in
Solve for
Therefore the roots are:
The angle through which the axes are rotated is given by
Therefore the angle through which the axes are rotated is
Use TI-83 calculator to plot the graph of
Screen shots given below:
Enter the two equations as shown below:
Click on the WINDOW button and set the window as shown below:
Press the GRAPH button and the graph is as below:
Therefore the graph is a parabola.
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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