parametric circles and ellipses

X² + Y² = 1: circle or ellipse?

• circle

• ellipse

• neither

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

• y=(3/2)x - 4
• t=(x-2)/4
• y=x - 4
• y= (2/3)x + 4

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

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

The parametric equation x = 3cos(t), y = 3sin(t) is a ..

• a circle
• an ellipse
• a hyperbolas
• parabola

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

x = 1 - 2t

y = 4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

Sketch the curve of x(t) = 2t + 1 and y(t) = t² + 2.

• A
• B
• C
• D

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

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

• Circle.

• Parabola

• Toroid

• Ellipse.

How do you write an ordered pair in polar coordinates?

• (X, Y)

• (θ, r)

• (r,θ)

• (Y_Y)

Tags

CCSS.HSN.CN.B.4