Parametric and Polar Review

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.

Eliminate the parameter. Convert the parametric equation to rectangular. x= 2+4t and y=-1+6t

• y=(3/2)x - 4
• t=(x-2)/4
• y=x - 4
• y= (2/3)x + 4

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

• A
• B
• C
• D

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

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

Tags

CCSS.HSF-IF.C.7B

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Tags

CCSS.HSN.CN.B.4

Which point represents the polar coordinate
(-4, -2π/3)?

• B
• F
• D
• A

Tags

CCSS.HSN.CN.B.4

Which equation represents the polar graph?

• r = sin θ
• r = sin 4θ
• r = 4 sin θ
• r = 4 cos θ

Tags

CCSS.HSN.CN.B.4

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

• eliminating
• finding
• converting
• jumping

Tags

CCSS.HSN.CN.B.4