Considering the statements below, classify them as true (V) or false (F): I. About the parabola of equation (y-2)2=-4(x+1), we can say that its focus is the point (-2.2), its axis of symmetry is vertical and the equation of the straight line is y = 0. II Equation x2+4z2 - y2 -1=0 a one-sheet hyperboloid and the traces in planes parallel to the xz plane are ellipses.

Considering the statements below, classify them as true (V) or false (F): I. About the parabola of equation (y-2)2=-4(x+1), we can say that its focus is the point (-2.2), its axis of symmetry is vertical and the equation of the straight line is y = 0. II Equation x2+4z2 - y2 -1=0 a one-sheet hyperboloid and the traces in planes parallel to the xz plane are ellipses.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 13T

See similar textbooks

Similar questions

What is the standard form equation of the hyperbola that has vertices (0,2) and foci (0,25) ?
What is the standard form equation of the hyperbola that has vertices (1,2)and(1,8) and foci (1,10)and(1,16) ?
Where must the center of hyperbola be relative to its foci?
If the transverse axis of a hyperbola is vertical, what do we know about the graph?
For the following exercise, given information about the graph of the hyperbola, find its equation. 54.
Is the parabola y=x2 a function? Is the parabola x=y2 a function? Explain why or why not.
A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 12 feet across at its opening and 4 feet deep at its center, where should the receiver be placed?
For the following exercise, sketch a graph of the hyperbola, labelling vertices and foci. 38. 4x28x+16y232y52=0
Find the vertex and yintercepts of the parabola with an equation of y2x+2y=3. Then graph it.