AnswersPrecalculusThe General Equation of Conic Sections

The General Equation of Conic Sections Answers

10 verified answers1 views
1
Free Preview

Write the equation y2 + 6y – 12x – 39 = 0 in standard form.

A
(y + 9)2 = 12(x + 4)
B
(y + 3)2 = 12(x + 4)
C
(y + 3)2 = 12x + 39
D
(y + 9)2 = 12x + 39
2
Free Preview

Which conic section is represented by the following equation?5x2 – x + 5y2 – 3y – 12 = 0

A
circle
B
ellipse
C
parabola
D
hyperbola
3

Convert the equation into standard form.25x2 – 9y2 + 200x + 18y + 166 = 0

A
StartFraction (x minus 8) squared Over 9 EndFraction minus StartFraction (y + 2) squared Over 25 EndFraction = 1
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Which graph represents 3x2 + 3y2 – 48x + 60y + 384 = 0?

A
On a coordinate plane, a circle has center (8, negative 10) and radius 6.
Option A
B
On a coordinate plane, a circle has center (negative 8, 10) and radius 6.
Option B
C
On a coordinate plane, a circle has center (negative 8, 10) and radius 11.
Option C
D
On a coordinate plane, a circle has center (8, negative 10) and radius 11.
Option D
5

Which graph represents 49x2 + 4y2 + 196x – 40y + 100 = 0?

A
On a coordinate plane, one part of a conic graph goes through (negative 1, 1), has a vertex at (0, negative 5), and goes through (negative 1, negative 12). The second part goes through (5, 1), has a vertex at (4, negative 6), and goes through (5, negative 12).
Option A
B
On a coordinate plane, one part of a conic graph goes through (negative 5, 12), has a vertex at (negative 4, 5), and goes through (negative 5, negative 2). The second part goes through (1, 12), has a vertex at (0, 5), and goes through (1, negative 2).
Option B
C
On a coordinate plane, an Ellipse has center (2, negative 5) and goes through (4, negative 5), (2, negative 12), (0, negative 5), and (2, 2).
Option C
D
Option
Option D
6

The graph of y2 + 8y – 4x – 24 = 0 is a parabola. Where is the focus located?

A
(–9, –4)
B
(–5, –4)
C
(–6, –4)
D
(–1, –4)
7

What is the standard form of the following equation?4x2 + 9y2 + 24x – 36y + 36 = 0

A
StartFraction (x + 3) squared Over 9 EndFraction + StartFraction (y minus 2) squared Over 4 EndFraction = 1
Option A
B
StartFraction (x + 3) squared Over 9 EndFraction + StartFraction (y minus 2) squared Over 4 EndFraction = 0
Option B
C
StartFraction (x + 3) squared Over 4 EndFraction + StartFraction (y minus 2) squared Over 9 EndFraction = 1
Option C
D
StartFraction (x + 3) squared Over 4 EndFraction + StartFraction (y minus 2) squared Over 9 EndFraction = 0
Option D
8

Which conic section is represented by the following equation?9x2 – 5x – 3y2 – 2y + 4 = 0

A
circle
B
ellipse
C
parabola
D
hyperbola
9

Which graph represents 25x2 – 4y2 – 72y – 424 = 0?

A
On a coordinate plane, an Ellipse has center (0, negative 9) and goes through (0, negative 4), (2, negative 9), (0, negative 14), (negative 2, negative 9).
Option A
B
On a coordinate plane, an Ellipse has center (0, negative 9) and goes through (0, negative 7), (5, negative 9), (0, negative 11), and (negative 5, negative 9).
Option B
C
Option
Option C
D
On a coordinate plane, one part of a conic graph goes through (negative 7, negative 7), has a vertex at (negative 5, negative 9), and goes through (negative 7, negative 12). The second part goes through (7, negative 7), has a vertex at (5, negative 9), and goes through (7, negative 12).
Option D
10

Which conic section is represented by the following equation?3x2 – 7x + 8y2 – 2y + 1 = 0

A
circle
B
ellipse
C
parabola
D
hyperbola

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

The General Equation of Conic Sections

Quiz
10 verified answers

Systems of Inequalities

Quiz
10 verified answers

Systems of Inequalities