A graphing calculator is recommended.This exercise deals with confocal parabolas, that is, families of parabolas that have the same focus.(a) Draw graphs of the family of parabolas= 4p(y + p)3-1,231,211for p = -2,2.210Graph Layers«Clear All9After you add an object to the graph you8Deletecan use Graph Layers to view and edit itsproperties.5Fill321-10 -9-8-7 -6-5-3-2 -113468910-1-2NoSolution-3-4-5-6-7-8-9-10HelpWebAssign. Graphing Tool(b) Show that each parabola in this family has its focus at the origin.The graph of x² = 4p(y + p) is obtained by shifting the graph of x2= 4py verticallyunits so that the vertex is at (x, y) = (). The focus of x2 = 4py is at (x, y) = (), so this point is also shiftedunits vertically to the point (x, y) = (). Thus, the focus is located at the origin.(c) Describe the effect on the graph of moving the vertex closer to the origin.The parabolas become ---Select--- v as the vertex moves toward the origin.Submit Answer

Name: A graphing calculator is recommended.This exercise deals with confoca
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: A graphing calculator is recommended.This exercise deals with confocal parabolas, that is, families of parabolas that have the same focus.(a) Draw graphs of the family of parabolas= 4p(y + p)3-1,231,211for p = -2,2.210Graph Layers«Clear All9After yo