Parametric and Polar Equations

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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.HSG.GPE.A.3

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

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

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

Tags

CCSS.HSG.GPE.A.1

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.

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

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

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

• B
• F
• D
• A