Implementing Algebraic Methods to Write Parametric Equations in Context

Given the parametric Equation on t = [0, 6], determine when the particle changes direction.

• 1

• 2

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• 4

• 5

Eliminate the parameter t.

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.SSE.A.2

CCSS.HSA.SSE.B.3

Find a Parameterization for the Curve by derivation: Circle with center (-3,5) and radius 6. Counterclockwise motion.

• x=6cost-3
  y=6sint+5

• x=6sint-3
  y=6cost+5

• x=-3cost+6
  y=5sint+6

• x=6cost-3
  y=-6sint+5

Eliminate the parameter.

x= √t and y=5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Charlotte and Maya are playing a game with a magical ball that rolls across the floor. 
The coordinates of the ball are given by x = t and y = 10 - 2t.
Can you help them find the position of the ball at time t = 3?

• Point A

• Point B

• Point C

• Point D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Charlotte and Maya are playing a game with a magical ball that rolls across the floor.
The coordinates of the ball are given by x = 2t and y = 8 - t.
Can you help them find the position of the ball at time t = 2?

• Point A

• Point B

• Point C

• Point D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• 34 meters

• 27 meters

• 24 meters

• 30 meters

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 30 m

• 34 m

• 12 m

• 14 m

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the coordinate pair based on the parametric equations.

t = -2

x = t² - 2

y = -t + 2

• (2, 4)

• (4, 2)

• (-6, 0)

• (0,-6)