Problem 1. Show that the equation represents a conic section. Sketch the conic section, and indicate all pertinent information (such as foci, directrix, asymptotes, and so on). (a) x2 – 2x – 4y? – 12y = -8 (b) 2x2 + 4x – 5y + 7 = 0 (c) 8x2 + 8x + 2y² – 20y = 12

Problem 1. Show that the equation represents a conic section. Sketch the conic section, and indicate all pertinent information (such as foci, directrix, asymptotes, and so on). (a) x2 – 2x – 4y? – 12y = -8 (b) 2x2 + 4x – 5y + 7 = 0 (c) 8x2 + 8x + 2y² – 20y = 12

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.CR: Review Problem Set

Problem 20CR

See similar textbooks

Related questions

Q: 1. Suppose that the equation Ax + Cy + Dx + Ey + F = 0 represents a conic section (nondegenerative…

A: Fill in the blanks

Q: Sketch the conic section 9x² +4y² 36x + 8y + 4 = 0 Be sure to identify any of the following items…

Q: Identify and sketch the graph of the conic section.y2 + 8x + 6y + 25 = 0

Q: Identify the graph of the nondegenerate conic sections: 4x2 - 25y2 - 24x + 250y - 489 = 0.

Q: 9. Explain in your own words how to decide what kind of conic it is if you have the equation Ax? +…

Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

Q: Find an equation for the conic whose graph is shown. y 15 10 X -15 -10 -5 5 10 15 - 10 - 15F

Q: Identify and sketch the graph of the conic section.9x2 + 9y2 + 18x − 18y + 14 = 0

A: Given Data The equation is 9x²+9y²+18x-18y+14=0. Arrange the equation 9x²+9y²+18x-18y+14=0 in the…

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x…

Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b.…

Q: 12. 9x²-16y -90x+64y+17 = 0 | 2. 250-

Q: 1- Sketch the following conic sections: y2 -4y+8-4x² = 0 %3D a-. .2 b- .2 y-4y-4x =8 a 3(y – 5)2 –…

A: As per our company guidelines, we are supposed to answer only the first three subparts. Kindly…

Q: Identify and sketch the graph of the conic section.5x2 + 3y2 − 15 = 0

A: On simplification, we get Now it is in the form of

Q: 1- Sketch the following conic sections: a 0 2 -4y+8 -4x2 =

A: We have to sketch the following conic section

Q: Identify the graph of each of the following nondegenerate conic sections: a. 4x2 - 25y2 - 24x + 250y…

A: The graph of the non-degenerate conic section: 4x2 - 25y2 - 24x + 250y - 489 = 0 ; is as follows:

Q: 1-Sketch the following conic sections: y2 - 4y +8- 4x2 = 0

Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

Q: • Question 3 A conic section has equation 25a +100z + 4y + 32y + 64 The conic section is a O…

A: Make perfect square and solve

Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

Q: 2. Suppose that the equation Ax + Bxy + Cy² + Dx + Ey + F = 0 represents a conic section…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 represents a conic. If B2-4AC>0 , The conic represents…

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

Q: Identify and sketch the graph of the conic section.y2 − 4x − 4 = 0

A: We have given the equation; y2 − 4x − 4 = 0 Which can be rewritten as; y2 =4x + 4 (y-0)2 =4(x +1)

Q: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 circle hyperbola line…

Q: Consider the following equation: 4(x+1)2+(y-2)2=16. 1) write the equation in shavers standard form…

Q: 1. Suppose that the equation Ar + Cy + Dx + Ey + F = 0 represents a conic section (nondegenerative…

A: Given: Ax2+Cy2+Dx+Ey+F=0.

Q: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

A: Given,

Q: 1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x +…

A: Since, you have asked multiple questions , we will solve the first question for you. Also, the first…

Q: 2. Suppose that the equation Ax + Bxy + Cy + Dx + Ey + F = 0 represents a conic section…

A: Suppose that the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 represents a conic section…

Q: 1- Sketch the following conic sections: 2-4y+8-4x2- b- y2 -4y-4x2 = 8 C- 3(y-s)2 -7(x+1)2 =1

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Which of the following is the graph of a conic section with equation x2 + 4y2 + 16x - 6y + 21 = 0 O…

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

Q: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0 a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

Q: Identify and sketch the graph of the conic section.16x2 + 25y2 − 32x − 50y + 16 = 0

A: On simplification, we get Now it is in the form of Therefore it represents an ellipse.

Q: Identify the graph of the nondegenerate conic sections: 9x2 + 25y2 - 54x + 50y - 119 = 0.

A: First we need to identify that the equation represents which conic section: We have:…

Q: The graphs of the following equations are (non-degenerate) conic sections. Identify the conic…

Q: 8.6 Classify the conic section and write its equation in standard form. Then graph the equation. 36.…

A: Given Classify the conic section and write the equation in standaredform is then the graph the…

Q: Given the general conic equation 9x2 - 4y2 - 18x - 16y - 43 = 0, complete the square to write the…

Q: Identify the conic section and graph. (x-5)^2/100-(y+3)^2/64=1

A: We can compare the given equation with: So the given equation is a hyperbola. Comparing we get:…

Q: Identify and sketch the graph of the conic section.2x2 − y2 + 4x + 10y − 22 = 0

A: Given: 2x2-y2+4x+10y-22=0 for drawing graph of given expression first we convert in standard…

Q: Which of the following equations yields to a non - degenerate conic? A 3x2 + 3y² - 12x+ 12y-6=0 9x2…

Q: Problem 1. Show that the equation represents a conic section. Sketch the conic section, and indicate…

A: See the full answer below watch carefully the answer has many parts, see for the numbering.

Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

Q: Problem 1. Show that the equation represents a conic section. Sketch the conic section, and indicate…

A: To determine the given conics.

Question

Please answer all the part of the question clearly

Problem 1. Show that the equation represents a conic section. Sketch the conic section, and
indicate all pertinent information (such as foci, directrix, asymptotes, and so on).
(а) 2? — 2а — 4у? —12у — -8
(Ъ) 2? + 4 - 5у + 7 3D 0
(c) 8x2 + 8 + 2y? – 20y = 12

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Ethics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.