State whether the equation y = 7x² defines

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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State whether the equation y = 7x² defines
O a hyperbolic cylinder.
O a parabolic cylinder.
O a hyperboloid of two sheets.
O a paraboloid (elliptic).
O an elliptic cone.
O a hyperboloid of one sheet.
Oan elliptic cylinder.
a paraboloid (hyperbolic).
O an ellipsoid.
Describe the trace obtained by intersecting with the plane y = 28.
O a parabola
O a circle
an ellipse
O a hyperbola
two lines
an empty set
Transcribed Image Text:State whether the equation y = 7x² defines O a hyperbolic cylinder. O a parabolic cylinder. O a hyperboloid of two sheets. O a paraboloid (elliptic). O an elliptic cone. O a hyperboloid of one sheet. Oan elliptic cylinder. a paraboloid (hyperbolic). O an ellipsoid. Describe the trace obtained by intersecting with the plane y = 28. O a parabola O a circle an ellipse O a hyperbola two lines an empty set
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