Parametric Equations Competition - grade 11 -Mr.Hajaj

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

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

• Linear
• Quadratic
• Quartic
• Square Root

What ordered pair lies on the parametric equations when t = 3?

x = 1 - 2t

y =4t + 1

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

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

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

What curve do the parametric equations make? What is the direction of motion?
x=1+3sint
y=-2+4cost

• Circle. Counterclockwise.
• Circle. Clockwise.
• Ellipse. Counterclockwise.
• Ellipse. Clockwise.

The coordinates of a car at time t are given by x = 8 - t and y = 2t - 16. As t increases, which direction and path is the car traveling?

• from left to right along the path y = 2x - 16.
• from left to right along the path y = 2x.
• from right to left along the path y = -2x.
• from left to right along the path y = -2x.

Which half of the curve will be graphed for the parametric equation:
x=1+3cost
y=-2+4sint
π≤t≤2π

• Right half
• Left half
• Top half
• Bottom half

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)