Parametric Conic Equation

Write the rectangular equation for the following parametric equations.

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? What is the direction of motion? x= 1+3cost y= -2+4sint

• Circle. Counterclockwise.

• Circle. Clockwise.

• Ellipse. Counterclockwise.

• Ellipse. Clockwise.

Write in rectangular form.

x = 4cos θ

y = 4sin θ

• x + y = 16

What is the center and radius of the curve:

x= -1 + 9cost

y= 2 + 9sint

• (-1,2) , r=3

• (-1,2) ,  r=9

• (1,-2) ,  r=3

• (1,-2) ,  r=9

What curve do the parametric equations make? What is the direction of motion? x= 3sint

y= 4cost

• Circle. Counterclockwise.

• Circle. Clockwise.

• Ellipse. Counterclockwise.

• Ellipse. Clockwise.

Identify the focus for (y − 1)² = 2(x − 5).

• (4.5, 1)

• (5, 1.5)

• (5, 0.5)

• (5.5, 1)

Identify the directrix for (x + 7)² = 22(y + 9).

• y = −14.5

• y = −4.5

• y = 14.5

• y = 4.5

• Parabola

• Circle

• Ellipse

• Hyperbola