Parametrics

When eliminating the parameter, make sure and solve for "t" for the x-equation and then plug it in the y-equation and simplify.

x = 3 - t

y = -t +2

• y = x-3+2

• y = x-1

• y = x-5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

For each graph identify:

center

radius

A

B

• center (2, 1)

  r: 2

• center (-2, -1)

  r: 2

• center (2, 2)

  r: 1

Tags

CCSS.HSG.GPE.A.1

select the correct parametric function for each conic section

• x = 2 + 4 cos (t)

  y = 4 sin t

• x = 4 cos (t)

  y = 4 sin t

• x = 4 cos (t)

  y = 2 + 4 sin t

Tags

CCSS.HSG.GPE.A.3

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

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.

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.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

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

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.B.6

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

• eliminating
• finding
• converting
• jumping

Which t-step will graph the slowest?

• 1
• .1
• .01
• .001

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4