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
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
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 60RE
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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.
Transcribed Image Text: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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