Parametric Equations

Eliminate the parameter from x(t) = t² + 5 and y(t) = t² - 4. Which of the following sketches results?

• Linear
• Quadratic
• Quartic
• Square Root

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

x = 1 - 2t

y =4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

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)

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

Write x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3

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

Eliminate the parameter.

x = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Write the rectangular equation for the following parametric equations.

x = 4 - t

y = 2t + 1

• y = 9 - 2x

• y = 9 + 2x

• y = 7--2x

• y = 9 + 2x

What variables are involved in parametric equations?

• x

• t

• z

• y

Write the rectangular equation for the following parametric equations.

x = 3/t

y = 6t + 1

• y = (18/x) + 1

• y = 18x + 1

• y = 19x

• y = 19/x