Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept:...
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Transcript of Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept:...
![Page 1: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/1.jpg)
Intercepts
• y-intercept: where the graph crosses the y-axis.• Algebraically – set x=0
• x-intercept: where the graph crosses the x-axis. • Algebraically – Set y=0.
![Page 2: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/2.jpg)
Example:
Find the x- and y- intercepts of the graph
![Page 3: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/3.jpg)
Symmetry of a Graph
1. The graph of an equation in x and y is symmetric with respect to the y-axis if replacing x by –x yields an equivalent equation.
![Page 4: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/4.jpg)
Symmetry of a Graph
2. The graph of an equation in x andy is symmetric with respect to the x-axis if replacing y by –y yields an equivalent equation.
![Page 5: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/5.jpg)
Symmetry of a Graph
3. The graph of an equation in xand yis symmetric with respect to the origin if replacing x by –x and y by –y yields an equivalent equation (unchanged by a rotation of 180°).
![Page 6: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/6.jpg)
Example
Test the graph of for symmetry.
![Page 7: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/7.jpg)
Example
Find all points of intersection of the graphs of and .
![Page 8: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/8.jpg)
Example Continued
![Page 9: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/9.jpg)
Definition of the Slope of a Line
![Page 10: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/10.jpg)
Equations of Lines
![Page 11: Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e875503460f94b8a7ea/html5/thumbnails/11.jpg)
Parallel and Perpendicular Lines