AnswersPrecalculusGraphing Parametric Equations

Graphing Parametric Equations Answers

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linecircle✔ parabola

A
line
B
circle
C
✔ parabola
3

✔ 1632

A
✔ 1
B
6
C
32
171364

A video game is programmed over a coordinate grid where the bottom left-hand corner of the screen is the origin. In one part of the game, a bird flies in a straight line across the screen from the point (0, 50) to the point (36, 120) in 4 seconds. Use the information to complete the sentences.

Answers:
The parametric equations that represent the bird’s programmed path are .:x(t) = 9t and y(t) = 50 + 17.5t
The bird’s path is part of a curve that is a .:line
The point representing the location of the bird after 6 seconds is .:(54, 154)
171365

✔ linecircleparabola

A
✔ line
B
circle
C
parabola
171366

✔ (54, 154)(100, 230)(216, 720)

A
✔ (54, 154)
B
(100, 230)
C
(216, 720)
171369

Which parametric equations represent (x + 1)2 + (y – 3)2 = 16?

A
x = 8cos(t) – 1 and y = 8sin(t) + 3
B
x = –cos(t) + 8 and y = 3sin(t) + 8
C
x = 4cos(t) – 1 and y = 4sin(t) + 3
D
x = –cos(t) + 4 and y = 3sin(t) + 4
171370

A player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

Answers:
The parametric equation that represents this situation is .:B
The bean bag’s path is part of a curve that is a .:parabola
To the nearest second, the bean bag was in the air for second(s).:1
171371

A fly-fishing line is cast in a parabolic motion with an initial velocity of 30 meters per second at an angle of 60° to the horizontal and an initial height of 1 meter. The following parametric equations represent the path of the end of the line:

Answers:
To the nearest meter, the line travels a horizontal distance of meters.:40
To the nearest tenth of a second, the end of the line reaches its maximum height after seconds.:1.3
171372

Which parametric equations describe the curve?

A
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
B
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
C
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
D
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
171373

Which parametric equations describe the curve?

A
x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ π
B
x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ 2π
C
x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π
D
x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ 2π
171374

✔ 1.32.618.240.0

A
✔ 1.3
B
2.6
C
18.2
D
40.0
171375

A video game is programmed over a coordinate grid where the bottom left-hand corner of the screen is the origin. In one part of the game, a bird flies in a straight line across the screen from the point (0, 50) to the point (36, 120) in 4 seconds. Use the information to complete the sentences.

Answers:
The parametric equations that represent the bird’s programmed path are .:x(t) = 9t and y(t) = 50 + 17.5t
The bird’s path is part of a curve that is a .:line
The point representing the location of the bird after 6 seconds is .:(54, 154)

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