College Algebra By Openstax
17th Edition
ISBN: 9781506698229
Author: Jay Abramson;arizona State University
Publisher: XANEDU PUBLISHING
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Chapter 8, Problem 16PT
For the following exercises, graph the parabola, labeling the vertex, focus, and directrix.
16. Write the equation of a parabola with a focus at
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- As the graph of a parabola becomes wider, what will happen to the distance between the focus and directrix?arrow_forwardFor the following exercises, write the equation of the hyperbola in standard form, and give the center, vertices, foci, and asymptotes. x249y281=1arrow_forwardIf the transverse axis of a hyperbola is vertical, what do we know about the graph?arrow_forward
- For the following exercises, use the given information about the graph of each ellipse to determine its equation. 49. Center (4,2) ; vertex (9,2) ; one focus: (4+26,2) .arrow_forwardFor the following exercises, graph the given ellipses, noting center, vertices, and foci. 42. 64x2+128x+9y272y368=0arrow_forwardFor the following exercises, graph the given ellipses, nothing center, vertices and foci. 51. Center (3,4) ; vertex (1,4) ; one focus (3+23,4)arrow_forward
- For the following exercises, use the given information about the graph of each ellipse to determine its equation. 50. Center (3,5) ; vertex (3,11) ; one focus: (3,5+42) 51. Center (3,4) vertex (1,4) ; one focus (3+23,4)arrow_forwardFor the following exercises, graph the hyperbola, noting its center, vertices, and foci. State the equations of the asymptotes. ( x3)225( y+3)21=1arrow_forwardIn the following exercises, (a) identify the type of graph equation as a circle, parabola, ellipse, or hyperbola, (b) write the equation in standard form, and (c) graph the equation. 349. A comet moves in an elliptical orbit around a sun. The closest the comet gets to the sun is approximately 20 AU and the furthest is approximately 70 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the comet.arrow_forward
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY