Hyperbolas
Standard Equation of a Hyperbola(Horizontal Transverse Axis)
Example:
Slant asymptotes are at
12
2
2
2
b
y
a
x
xa
by
Standard Equation of a Hyperbola(Vertical Transverse Axis)
Example:
Slant asymptotes are at xb
ay
12
2
2
2
b
x
a
y
Examples
1) Write the standard equation for the hyperbola with vertex (0, 4) and co-vertex (3, 0). Then, sketch the graph.
2) Write the standard equation of a hyperbola with vertex (5, 0) and co-vertex (0, -6). Then, sketch the graph.
3) Sketch the graph of and label the vertices, co-vertices, and foci.
13616
22
xy
4) Find an equation of a hyperbola with vertex (0, 3) and Asymptote y = 3x
• HW
• Pg. 235 (1 – 5odd, 19, 21)
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