Parametric Equations

Eliminate the parameter. 
x = t
y = 5t

• y=5x²
• y=5x
• y= x - 5
• y=x²

Tags

CCSS.HSA.REI.C.8

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

Tags

CCSS.HSF-IF.C.7B

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

What curve do the parametric equations make? 
x = 1 + 3cost
y = -2 + 4sint

• Ellipse
• Circle. 

What is the center of the ellipse?
x = 1 + 3sint
y = -2 + 4cost

• (-1, 2)
• (3, 4)
• (-3, -4)
• (1, -2)

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of the curve?
x = 5 + 3cost
y = -2 + 3sint

• (5,-2) ,  r=3
• (-5,2) ,  r=9
• (-5,2) ,  r=3
• (5,-2) ,  r=9

Write a parametric equation for the ellipse.

• x = -3 + 3cos(t)
  y = 3 + 2 sin(t)
• x = 3 + 2cos(t) 
  y = -3 + 3sin(t)
• x = -3 + 2cos(t)
  y = 3 + 3sin(t)
• x = 3cos(t)
  y = 2sin(t)

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