Warm-up: show work on same paper as p.649

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Warm-up: show work on same paper as p.649 Given: xy = 16 Fill in the given table with ten ordered pairs, then sketch a graph x y

Check your work!! Given: xy = 16 Fill in the given table with ten ordered pairs, then sketch a graph x y

transverse axis: the line connecting the two vertices (length = 2a) 10-4 Notes: Hyperbolas transverse axis: the line connecting the two vertices (length = 2a) conjugate axis: perpendicular to the transverse axis (length = 2b) vertex: located “a” units from the center (a is always listed first in the given equation)

vertex: located “a” units from the center. (a is always listed first in the given equation) foci: located on the transverse axis, “c” units from the center hyperbola

Hyperbola: see formula sheet for more info

End of notes…see the next few slides to get started on the homework assignment!!

1st: Identify center, a & b values. 2nd: Sketch graph. 3rd: Identify vertices, foci, and asymptotes

3rd: Identify vertices, foci, and asymptotes

3rd: Identify vertices, foci, and asymptotes

3rd: Identify vertices, foci, and asymptotes

p.649 #7 complete the square to get graphing form.

p.649 #7 continued...