Polar Parametric Equations

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

In the xy plane the graph x=5t+2 and y=3t for -3<t<3 is a line segment with the slope

• 3/5

• 5/3

• 3

• 5

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Which point represents the polar coordinate
(-4, -2π/3)?

• B
• F
• D
• A

Which equation represents the polar graph?

• r = sin (4θ)
• r = 6 sin(2θ)
• r = 6 cos (2θ)
• r = cos (4θ)

Which equation represents the polar graph?

• r = 6 + 6 sin θ
• r = 12 sin θ
• r = 4 - 3 sin θ
• r = 4 + 5 sin θ

Which equation represents the polar graph?

• r = sin θ
• r = sin 4θ
• r = 4 sin θ
• r = 4 cos θ

The values of t control the values of x and y but are not used when plotting the points on the coordinate plane.

• True
• False

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

• a circle
• an ellipse
• a hyperbolas
• parabola