The General Equation of Conic Sections

Question 1

The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic. The conic represented by the equation is a/an because .

Revolt · Accepted Answer

A: Circle

Question 2

Which of the following equations would produce a parabola? Check all that apply.–5x2 + 4x – 7y + 14 = 0–x2 + 6x + y2 – 8 = 09x2 – 12xy + 4y2 + 4x – y + 5 = 012x + 6y – 5y2 + 14 = 020x2 + 10xy – y2 + 3x – 6y + 5 = 0

Revolt · Accepted Answer

A: –5x2 + 4x – 7y + 14 = 0; C: 9x2 – 12xy + 4y2 + 4x – y + 5 = 0; D: 12x + 6y – 5y2 + 14 = 0

Question 3

The equation, –2x2 + 5xy – 7y2 + 9x – 7y + 13 = 0, represents a conic. The discriminant is , so the equation represents a/an .

Revolt · Accepted Answer

B: -31

Question 4

Complete the square to write a general form equation of 2x2 + y2 – 12x + 8y + 8 = 0 in standard form.

Revolt · Accepted Answer

B:

Question 5

Complete the square to write an equation in general form of 4x2 – 9y2 + 24x + 18y – 9 = 0 in the standard form shown below, and then identify the key features of the graph. h = center: (, ) k = a = slope of asymptote: b =

Revolt · Accepted Answer

Part 1: -3; Part 2: -3; Part 3: 1; Part 4: 1; Part 5: 3; Part 6: 2/3; Part 7: 2

Question 6

Complete the square to write the equation, 4x2 + 24x – y + 43 = 0, in standard form.

Revolt · Accepted Answer

: 170927; : 3; : 7

Question 7

What error, if any, did Jamaal make ?

Revolt · Accepted Answer

C: Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r = 4.

Question 8

Select the description of the graph created by the equation 3x2 – 6x + 4y – 9 = 0.

Revolt · Accepted Answer

C: Parabola with a vertex at (1, 3) opening downward.

Question 9

A = B ✔ A = CA = DA = E

Revolt · Accepted Answer

B: A = C

Question 10

✔ ellipseparabolahyperbola

Revolt · Accepted Answer

A: ellipse

The General Equation of Conic Sections Answers

More from this Course

TRY EDGENUITY HACKS