Parametric Equations

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.HSF.IF.B.4

CCSS.HSF.IF.C.7

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

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

• eliminating
• finding
• converting
• jumping

Find the point based on the parametric equations. t = 3

x = 1 - 2t

y = 4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

Tags

CCSS.HSA.CED.A.2

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

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.D.10

CCSS.HSF.IF.B.4

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

Eliminate the parameter

x = 3/t

y = 6t + 1

• y = (18/x) + 1

• y = 18x + 1

• y = 19x

• y = 19/x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Graph the parametric equation 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

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

•  $y=4x^2+3$  

•  $y=\frac{1}{4}x^2+3$  

•  $y=4t^2+12$  

•  $y=(x-2)^2+3$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3