A = C= 2. Circle ectingAC = 4(0) = 0. ParakAC = 2(4) = 8> 0. followiClassifying Conics from General EquationsExample:SolutionEquation%3D4x2 -9x +4x² – 9x + y-5=04x² - y² + 8x – 6y + 4 = 04 x + 12 y = 0AC = 4(-1) = -4<0. HWh2.%3D2.2x2 +4 y 22x² +2y² – 8x +12y +2=0ttern asx² +9Activity 2Classify the graph of the equation as circle, a parabola, an ellipse, or atx² +9Show your proof.%3D1.)9x² + 4y² – 18x +16y –119=02.) x² + y² – 4x – 6y - 23= 0do a x3.)16x² – 9y² + 32x+54y – 209 = 0%3D4.) x² + 4x -8y+20 = 0%3|5.) y² +12x + 4y + 28 = 06.) 4x² + 25y² +16x+250y +541=07.) ×² + y² + 2x – 6y = 08.) y² – x² +2x – 6y – 8 = 0AMбу —tandlegeet)ellin9.) 3x² + 3y² – 6x +6y+5= 010.) 2x² – 4y² + 4x + 8y – 3 = 0as 4x2 - y² + 84y 2AC= 2(4)3=%3D4 x + 12 y2x² + - = 0A= C=2x ² + 2y² – 8x+12y+2=0Activity 2Classify the graph of the equation as circle, a parabola, an ellinShow your proof.16y –119=01.)9x² + 4y² – 18x +2.) x² + y² -4x – 6y –3.) 16x² – 9y² +32x +54y – 209= 0|23= 0%3D4.) x² + 4X-8y+20 = 05.) y² +12x +4y + 28 = 06.) 4x² + 25y² +16x +250y + 541=07.) x² + y² + 2x – 6y = 08.) y² – x² +2x – 6y – 8 = 0%3D9.)3x² + 3y² – 6x + 6y+5 = 0%3D10.) 2x² – 4y² + 4x +8y-3=0What's MoreActivity 3

Answered: Image /qna-images/answer/43c0e6d9-7160-47ba-980a-72d1f03ef7e7.jpg

Answered: Classify the graph of the equation as…

Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² + 4y² – 18x +16y –119= 0 -

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 6CT

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Question

A = C= 2. Circle ecting
AC = 4(0) = 0. Parak
AC = 2(4) = 8> 0. followi
Classifying Conics from General Equations
Example:
Solution
Equation
%3D
4x2 -9x +
4x² – 9x + y-5=0
4x² - y² + 8x – 6y + 4 = 0
4 x + 12 y = 0
AC = 4(-1) = -4<0. H
Wh
2.
%3D
2.
2x2 +
4 y 2
2x² +2y² – 8x +12y +2=0
ttern as
x² +9
Activity 2
Classify the graph of the equation as circle, a parabola, an ellipse, or at
x² +9
Show your proof.
%3D
1.)9x² + 4y² – 18x +16y –119=0
2.) x² + y² – 4x – 6y - 23= 0
do a x
3.)16x² – 9y² + 32x+54y – 209 = 0
%3D
4.) x² + 4x -8y+20 = 0
%3|
5.) y² +12x + 4y + 28 = 0
6.) 4x² + 25y² +16x+250y +541=0
7.) ×² + y² + 2x – 6y = 0
8.) y² – x² +2x – 6y – 8 = 0
AM
бу —
tand
lege
et)
ellin
9.) 3x² + 3y² – 6x +6y+5= 0
10.) 2x² – 4y² + 4x + 8y – 3 = 0
as

4x2 - y² + 8
4y 2
AC= 2(4)3=
%3D
4 x + 12 y
2x² + - = 0
A= C=
2x ² + 2y² – 8x+12y+2=0
Activity 2
Classify the graph of the equation as circle, a parabola, an ellin
Show your proof.
16y –119=0
1.)9x² + 4y² – 18x +
2.) x² + y² -4x – 6y –
3.) 16x² – 9y² +32x +54y – 209= 0
|
23= 0
%3D
4.) x² + 4X-8y+20 = 0
5.) y² +12x +4y + 28 = 0
6.) 4x² + 25y² +16x +250y + 541=0
7.) x² + y² + 2x – 6y = 0
8.) y² – x² +2x – 6y – 8 = 0
%3D
9.)3x² + 3y² – 6x + 6y+5 = 0
%3D
10.) 2x² – 4y² + 4x +8y-3=0
What's More
Activity 3

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