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This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic trace in the plane z = -4. O y = z2 - 1 O x? y? 4 4 O 2? - y +4 O x? + y? = 4 O y? x2 %3D 1 (b) Find the vertices of the hyperbola in part (a). O (+2/2,0, – 4) O (+2,0, – 4) O (+2,0, 4) O (0, + 2/2, 4) O (0, + 2, 4) (c) Find the foci of the hyperbola in part (a). O (0, + 2, 4) O (+2,0, - 4) O (+2,0, 4) O (+2/2,0, - 4) O (0, + 2/2, 4) (d) Describe the orientation of the focal axis of the hyperbola in part (a) relative to the coordinate axes. The focal axis is parallel to the

This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic trace in the plane z = -4. O y = z2 - 1 O x? y? 4 4 O 2? - y +4 O x? + y? = 4 O y? x2 %3D 1 (b) Find the vertices of the hyperbola in part (a). O (+2/2,0, – 4) O (+2,0, – 4) O (+2,0, 4) O (0, + 2/2, 4) O (0, + 2, 4) (c) Find the foci of the hyperbola in part (a). O (0, + 2, 4) O (+2,0, - 4) O (+2,0, 4) O (+2/2,0, - 4) O (0, + 2/2, 4) (d) Describe the orientation of the focal axis of the hyperbola in part (a) relative to the coordinate axes. The focal axis is parallel to the

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 22E
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This exercise refers to the hyperbolic paraboloid z = y -x?. (a) Find an equation of the hyperbolic trace in the planez = -4. O y = ? - 1 x y? = 1 4 4 - y + 4 O x? + y? = 4 O y? x2 (b) Find the vertices of the hyperbola in part (a). O (±2/2,0, – 4) O (+2,0, – 4) O (+2,0, 4) O (0, + 2/2, 4) O (0, + 2,4) (c) Find the foci of the hyperbola in part (a). O (0, + 2, 4) O (+2, 0, – 4) O (+2,0, 4) O (+2/2.0, – 4) O (0, + 2/2, 4) (d) Describe the orientation of the focal axis of the hyperbola in part (a) relative to the coordinate axes. The focal axis is parallel to the
Transcribed Image Text:This exercise refers to the hyperbolic paraboloid z = y -x?. (a) Find an equation of the hyperbolic trace in the planez = -4. O y = ? - 1 x y? = 1 4 4 - y + 4 O x? + y? = 4 O y? x2 (b) Find the vertices of the hyperbola in part (a). O (±2/2,0, – 4) O (+2,0, – 4) O (+2,0, 4) O (0, + 2/2, 4) O (0, + 2,4) (c) Find the foci of the hyperbola in part (a). O (0, + 2, 4) O (+2, 0, – 4) O (+2,0, 4) O (+2/2.0, – 4) O (0, + 2/2, 4) (d) Describe the orientation of the focal axis of the hyperbola in part (a) relative to the coordinate axes. The focal axis is parallel to the
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