PreCalc H Practice Parametric Eqns

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

• Linear
• Quadratic
• Quartic
• Square Root

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

x = 1 - 2t

y =4t + 1

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

Tags

CCSS.HSA.REI.C.8

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.

Tags

CCSS.HSF-IF.C.7A

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

Write the rectangular equation for the following parametric equations.

x = 4cost

y = 3sint

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

• A
• B
• C
• D