Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes...
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Transcript of Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes...
![Page 1: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/1.jpg)
Hyperbolas
![Page 2: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/2.jpg)
Standard Equation of a Hyperbola(Horizontal Transverse Axis)
Example:
Slant asymptotes are at
12
2
2
2
b
y
a
x
xa
by
![Page 3: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/3.jpg)
Standard Equation of a Hyperbola(Vertical Transverse Axis)
Example:
Slant asymptotes are at xb
ay
12
2
2
2
b
x
a
y
![Page 4: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/4.jpg)
Examples
1) Write the standard equation for the hyperbola with vertex (0, 4) and co-vertex (3, 0). Then, sketch the graph.
![Page 5: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/5.jpg)
2) Write the standard equation of a hyperbola with vertex (5, 0) and co-vertex (0, -6). Then, sketch the graph.
![Page 6: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/6.jpg)
3) Sketch the graph of and label the vertices, co-vertices, and foci.
13616
22
xy
![Page 7: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/7.jpg)
4) Find an equation of a hyperbola with vertex (0, 3) and Asymptote y = 3x
![Page 8: Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649ecf5503460f94bdccdc/html5/thumbnails/8.jpg)
• HW
• Pg. 235 (1 – 5odd, 19, 21)