Parametric and Polar Review

Eliminate the parameter. 
x = t
y = 5t

• y=5x²
• y=5x
• y= x - 5
• y=x²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Convert from parametric to rectangular:  x = t - 4  and y = 2t + 1
Hint:  Solve for t and then substitute into the "y" equation.

• y = 2t - 4
• y = 2x + 9
• y = 2x + 4
• y = 2t - 3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Eliminate the parameter:
x = 8 + 2cos(t)
y = -6 + sin(t) 

• (x + 8)²/4 + (y + 6)² = 1
• (x - 8)²/4 + (y - 6)² = 1
• (x - 8)²/4 + (y + 6)² = 1
• (x - 8)²/2 + (y + 6)² = 1

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

Which equation represents the polar graph?

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

Convert

• A
• B
• C
• D

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

Given the Rectangular Coordinate
(-7√2, 7√2), write the point as a polar coordinate for 0≤θ≤2π

• (14, π/4) , (-14, π/4)
• (14, 7π/4) , (14, π/4)
• (14, 5π/4) ,
  (-14, 3π/4)
• (-14, 7π/4),
  (14, 3π/4)