Polar and Parametric

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.8.F.A.1

CCSS.HSF.IF.B.5

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 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

How do you write an ordered pair in polar coordinates?

• (X, Y)

• (θ, r)

• (r,θ)

• (Y_Y)

Tags

CCSS.HSN.CN.B.4

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

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

• eliminating
• finding
• converting
• jumping

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Kait hits the golfball at an angle of 27° with the horizontal at an initial speed of 22 m/s.  How far has the ball traveled horizontally after 2 seconds?

• 50.068 meters
• 19.976 meters
• 39.204 meters
• 42.077 meters

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8