I was given a study packet (not graded) and I'm not sure I'm going about getting the equation into vertex form, graphing the hyperbola, and identifying the center and vertices. I took a photo of the entire page for the instructions at the top, and also to provide context with the other problems. Number 18 is the question I am working on. Thank you. Classify each conic section, write its equation in standard form, and sketch its graph. For parabolas,identify the vertex and foctis, For circles, identify the center and radius. For ellipses and hyperbolasidentify the center, vertices, et17) -2y +x – 4y + 1 = 0Horizontal ParabolaX = 2 y? +4y-12(y+2y+1)-1 -2x = 2 (y+1)² - 31.vertex: (-3, -1)18) -25.x + y² – 100x – 125 = 0%3DHyperbolacenter: (-2,0)19) 4x² + 4y² – 20x – 32y + 81 = 0Circle Ellipse4x -20x +4y2-32y = -* =)+4 6y²-&g+16) = -81 +25+644 (x -)" + 4 (y-4) = 8%D4(x²- 5× +(x-5%)Center: 4/s, 4112\2.-2-9= Z)=214

Answered: Classify each conic section, write its…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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I was given a study packet (not graded) and I'm not sure I'm going about getting the equation into vertex form, graphing the hyperbola, and identifying the center and vertices.

I took a photo of the entire page for the instructions at the top, and also to provide context with the other problems.

Number 18 is the question I am working on.

Thank you.

Classify each conic section, write its equation in standard form, and sketch its graph. For parabolas,
identify the vertex and foctis, For circles, identify the center and radius. For ellipses and hyperbolas
identify the center, vertices, et
17) -2y +x – 4y + 1 = 0
Horizontal Parabola
X = 2 y? +4y-1
2(y+2y+1)-1 -2
x = 2 (y+1)² - 3
1.
vertex: (-3, -1)
18) -25.x + y² – 100x – 125 = 0
%3D
Hyperbola
center: (-2,0)
19) 4x² + 4y² – 20x – 32y + 81 = 0
Circle Ellipse
4x -20x +4y2-32y = -
* =)+4 6y²-&g+16) = -81 +25+64
4 (x -)" + 4 (y-4) = 8
%D
4(x²- 5× +
(x-5%)
Center: 4/s, 4
11
2\
2.
-2-
9= Z)=
214

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