Algebra II Practice Quiz 9.4 – 9.5 Name: ___________________________ Date: ____________ Period: ______ 1.) Write the equation for the graph at the right. 2.) Write the equation for the graph at the right. Write an equation for an ellipse that satisfies each set of conditions. 3.) endpoints of major axis at (4, -3) and (4, 7), endpoints of minor axis at (0, 2) and (8, 2) 4.) major axis 20 units long and parallel to x-axis, minor axis 12 units long, center at (0, 2) Center: ___________ Foci: ____________ Center: ___________ Foci: ____________ Major Axis: _______ Minor Axis: _______ Major Axis: _______ Minor Axis: _______ Equation: ____________________________ Equation:__________________________________ Write an equation for a hyperbola that satisfies each set of conditions. 5.) vertices (0, 6) and (0. -6), conjugate axis of length 14 units. 6.) vertices (-3, 0) and (3, 0), foci ( √ Center: ___________ Center: ___________ Vertex: (0, 6) Foci: _________________ Asymptotes: ____________ Equation: _____________________________________ Foci: ( √ Vertex: ( 3, 0) , 0) , 0) Asymptotes: _______________ Equation:__________________________________________ Write the hyperbola in standard form and then sketch the graph of the hyperbola. 7.) Given the hyperbola in standard form , name the center, foci and the length of the given axis. 8.) ( ) ( ) =1 Center: _________ Foci: ___________ Transverse axis Length: ______ Conjugate axis Length: ______ 7.) Equation: ________________________________________________________
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