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
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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

Parabola: x2=4p(y+p)We need to put p=-2,-32,-1,-12,12,1,32,2 x2=-8(y-2)

Answered: -1, 10 | bartleby

Math

Geometry

-1, 10

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Topic Video

Question

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,
2
3
1,
2
1
1
for p = -2,
2.
2
10
Graph Layers
«
Clear All
9
After you add an object to the graph you
8
Delete
can use Graph Layers to view and edit its
properties.
5
Fill
3
2
1
-10 -9
-8
-7 -6
-5
-3
-2 -1
1
3
4
6
8
9
10
-1
-2
No
Solution
-3
-4
-5
-6
-7
-8
-9
-10
Help
WebAssign. 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 vertically
units so that the vertex is at (x, y) = (
). The focus of x2 = 4py is at (x, y) = (
), so this point is also shifted
units 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

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