Unit 6 Review

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

• eliminating
• finding
• converting
• jumping

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

• $\frac{x^2}{9}+\frac{y^2}{16}=1$

• $\frac{y^2}{9}+\frac{x^2}{16}=1$

• $\cos^2\theta+\sin^2\theta=1$

• $\frac{x^2}{9}-\frac{y^2}{16}=1$

Write x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3

What ordered pair lies on the parametric equations when t = 3?

x = 1 - 2t

y =4t + 1

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.

Convert the rectangular coordinates to polar form

• (√2 , 7π/4)
• (2 , 3π/4)
• (4 , π/4)
• (4 , 5π/4)

Convert the polar coordinates to rectangular form

• (1, 1)
• (1, -1) 
• (-1, 0)
• (-1, -1)

Which equation represents the polar graph?

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

True or False:  Polar Coordinates are unique?

• True
• False
• Made you look
• this quizizz rocks

Which point represents (5, π)

• F
• E
• B
• A