Answers MO-Algebra II APerforming Operations with Complex Numbers

Performing Operations with Complex Numbers — Unit test Answers

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Convert –2y2 + x – 4y + 6 = 0 into standard form.

x = 2(y + 1)2 – 6

x = 2(y + 1)2 – 8

x = 2(y + 1)2 – 7

x = 2(y + 1)2 + 8

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Graph .

On a coordinate plane, an Ellipse has center point (0, negative 1) and goes through points (0, 1), (7, negative 1), (0, negative 3), and (negative 7, negative 1).

On a coordinate plane, an Ellipse has center point (0, 1) and goes through points (0, 3), (7, 1), (0, negative 1), and (negative 7, 1).

On a coordinate plane, an ellipse has center point (0, 0) and goes through (0, 8), (2, 0), (0, negative 8), and (negative 2, 0).

On a coordinate plane, an ellipse has center point (0, 0.5) and goes through (0, 8), (2, 0), (0, negative 9), and (negative 2, 0).

Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) + 9. How can the rectangular equation be described?

circle

ellipse

parabola

hyperbola

The graph of an ellipse is shown.

Option

Which graph represents the hyperbola = 1?

Option

Question text not available

x = −4.25 and x = 8.25

x = −3.25 and x = 9.25 ✓ Correct

y = −4.25 and y = 8.25

y = −3.25 and y = 9.25

What are the foci of the hyperbola whose equation is = 1?

(−6, 2) and (14, 2)

(−4, 2) and (12, 2)

(4,−8) and (4, 12)

(4,−6) and (4, 10)

What are the foci of the hyperbola whose equation is = 1?

(−6, 2) and (14, 2)

(−4, 2) and (12, 2)

(4,−8) and (4, 12)

(4,−6) and (4, 10)

A parabola has the following properties.Vertex at (–2, 1)Directrix is x = 5Which equation represents this parabola?

(x + 2) = (y – 1)2

28(x + 2) = (y – 1)2

–28(x + 2) = (y – 1)2

(x + 2) = (y – 1)2

What are the vertices of the hyperbola whose equation is = 1?

(−13, 8) and (−1, 8)

(−12, 8) and (−2, 8)

(−7, 2) and (−7, 14)

(−7, 3) and (−7, 13)

Which rectangular equation represents the parametric equations x = 3 and y = 6t?

y = 2x2, for x ≥ 0

y = x2, for x ≥ 0

y = 54x2, for x ≥ 0

y = x2, for x ≥ 0

Which graph is represented by the equation (x + 3)2 + (y – 4)2 = 9?

On a coordinate plane, a circle has center (negative 3, 4) and radius 3.

On a coordinate plane, a circle has center (3, negative 4) and radius 9.

On a coordinate plane, a circle has center (3, negative 4) and radius 3.

On a coordinate plane, a circle has center (negative 3, 4) and radius 9.

1.82.83.84.8

1.8

2.8

3.8

4.8

Which equation represents a hyperbola?

4x2 + 3x + 4y2+ 5 = 0

2x2 – 5xy + 4y2 + 10x – y + 12 = 0

3x2 – 6xy + 3y2 + 5x – 2y + 1 = 0

3x2 + xy – 9y2 + 2x + 5 = 0

What is the radius of the circle with equation ?

unit

units

unit

units

Question text not available

(1,−2)

(1, 1)

(1, 3)

(1, 6)

Convert the equation –9x2 + 25y2 – 100y – 125 = 0 into standard form.

StartFraction (y + 2) squared Over 9 EndFraction minus StartFraction x squared Over 25 EndFraction = 1

StartFraction (y minus 2) squared Over 5 EndFraction minus StartFraction 9 x squared Over 125 EndFraction = 1

StartFraction (y minus 2) squared Over 9 EndFraction minus StartFraction x squared Over 25 EndFraction = 1

StartFraction (y + 2) squared Over 5 EndFraction minus StartFraction 9 x squared Over 125 EndFraction = 1

Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?

= 1

A plane intersecting a double-napped cone is parallel to the generator. Which conic section is formed?

circle

ellipse

hyperbola

parabola

Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?

= 1

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Performing Operations with Complex Numbers — Unit test Answers

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