Parametric Functions

Parametric Functions

Multiple Choice

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

Multiple Choice

Does this describe a function?

• Function
• Not a Function

Multiple Choice

What is the range of the function given below?

• 0 ≤ y ≤ 7
• -2 ≤ y ≤ 4
• .2 ≤ y ≤ 4
• All real numbers

Multiple Choice

Which equation represents the function?

• y = 3/4x - 5
• y = -3/4x + 5
• y = 4/3x + 5
• y = -4/3x + 5

Multiple Choice

Evaluate f(2).

• f(2) = 5

• f(2) = 12

• f(2) = 10

• f(2) = 0.5

Multiple Choice

What is the value of x when f(x) = 16?

• x = 4 only

• x = 4 and x = 8

• x = 16

• Not on the graph

Multiple Choice

Find the ordered pair based on the parametric equations.

t = -2

x = t² - 2

y = -t + 2

• (2, 4)

• (4, 2)

• (-6, 0)

• (0,-6)

Multiple Choice

Find the point based on the parametric equations. t = 3

x = 1 - 2t

y =4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

Eliminate the parameter.

x = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Multiple Choice

Which set of parametric equations satisfies the given data table?

• x(t) = t³ - 1
  y(t) = 2t
• x(t) = t³ - 1
  y(t) = t + 2
• x(t) = t + 8
  y(t) = t + 2
• x(t) = t + 8
  y(t) = 2t

Multiple Choice

select the correct parametric function for each conic section

• x = 4 sec (t)

  y = 5 tan (t)

• x = 4 + 4 sec (t)

  y = -1 + 5 tan (t)

• x = -4 + 4 sec (t)

  y = 1 + 5 tan (t)

Multiple Choice

select the correct parametric function for each conic section

• x = 2 + 4 cos (t)

  y = 4 sin t

• x = 4 cos (t)

  y = 4 sin t

• x = 4 cos (t)

  y = 2 + 4 sin t

Multiple Choice

For each graph identify:

center

radius

A

B

• (0, -2) A = 4 B = 2

• (-2, 0) A = 4 B = 2

• (0, 2) A = 4 B = 2

Multiple Choice

For each graph identify:

center

radius

A

B

• (1, -2) A = 3 B = 2

• (-2, 1) A = 3 B = 2

• (-1, -2) A = 3 B = 2

Multiple Choice

For each graph identify:

center

radius

A

B

• (1, -1) R = 4

• (-1, 1) R = 4

• (1, -1) R = 16

Multiple Choice

For each graph identify:

center

radius

A

B

• (-2, 1) A = 4 B = 2

• (-2, 1) A = 4 B = 2

• (2, -1) A = 4 B = 2

Multiple Choice

For each graph identify:

center

radius

A

B

• (-2, 1) A = 2 B = 3

• (-2, 1) A = 2 B = 3

• (2, -1) A = 2 B = 3

Multiple Choice

For each graph identify:

center

radius

A

B

• (-1, 0) R = 6

• (-1, 0) R = 3

• (1, 1) R = 9

Multiple Choice

For each graph identify:

center

radius

A

B

• (0, 1) A = 4 B = 1

• (1, 0) A = 4 B = 1

• (1, 1) A = 4 B = 1

Multiple Choice

For each graph identify:

center

radius

A

B

• (-1, -2) A = 2 B = 3

• (1, 2) A = 3 B = 2

• (1, 2) A = 1 B = 2

Multiple Choice

For each graph identify:

center

radius

A

B

• center (2, 1)

  r: 2

• center (-2, -1)

  r: 2

• center (2, 2)

  r: 1

Multiple Choice

For each graph identify:

center

radius

A

B

• center (2, 1)

  r: 2

• center (-2, -1)

  r: 2

• center (2, 2)

  r: 1

Multiple Choice

Sketch the curve of x(t) = 2t + 1 and y(t) = t² + 2.

• A
• B
• C
• D

Multiple Choice

What is the center and radius of the curve:
x=1+3cost
y=-2+3sint

• (-1,2) , r=3
• (-1,2) ,  r=9
• (1,-2) ,  r=3
• (1,-2) ,  r=9

Multiple Choice

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

• $\frac{x^2}{9}+\frac{y^2}{16}=1$

• $\frac{y^2}{9}+\frac{x^2}{16}=1$

• $\cos^2\theta+\sin^2\theta=1$

• $\frac{x^2}{9}-\frac{y^2}{16}=1$

Multiple Choice

Converting parametric equations to a rectangular equation is called _________________ the parameter.

• eliminating
• finding
• converting
• jumping