Graphs of Quadratic Equations - m 2:I,1 Ellipeiuiti...

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Unformatted text preview: m 2 :I ,1. Ellipeiuiti Elliolil: Paraboloitl All Homes are ellipses. Ifa =- b =- e. was ellipsoid is :1 sphere. Horizontal lmees are ellipses. 1'llbrtiorll traces are paroholus. The van'e'ole raised to lhe first power indicates the 1"".[5 of the pomboloid. Horizontal lmees are hypemolns. Wrtieul traces are purebolss. The case where e -=: D is illostralod. Hyperboloid ol Elne Sheet Hyperhnlnio of Two Sheets .. ”I3: b2 Horizontal trams are ellipses. Write] IIllIE'ES in the [fishes Jr = it and y = k are hyperliolas it'lr 9% D but are:I:Lirs ol'lines il'k = II]. Horizontal onees are ellipses. Vertical Intees are 1131111141135. The axis of ssmtmetr;r ooriesponds lo the variable Whose coefficient is negative. 2 : _"'_ _.L + a! b1 1:3 Horizontal treees'tn: =irate ellimsifi: :bcorl'cnf. '-r:. =1 Vertical traces are hyperbolus. The two minus signs 'Lrtilleale I'd-'o sheets. ...
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