parametric quiz

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

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

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.B.4

CCSS.HSF.IF.C.7

Which set of parametric equations results in the path shown?

• x = cos(t)
  y = sin(2t)
• x = cos(2t)
  y = sin(t)
• x = cos(2t)
  y = sin(2t)
• x = 2cos(t)
  y = 2sin(t)

Write the pair of parametric equations in rectangular form then determine the shape of the graph.  
x = 3 cos ⊖  and y = 5 sin ⊖

• ellipse
• circle
• hyperbola
• parabola

Write x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• y=-1+ 6((x-2)/4)

• t=(x-2)/4

• y=x - 4

• y= (2/3)x + 4

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

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