Precalc B Section 4.6 Quiz Review

Precalc B Section 4.6

Quiz Review

Multiple Choice

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

• B
• F
• D
• A

Multiple Choice

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Multiple Choice

Which point represents (-4, π/2)

• D
• C
• B
• A

Multiple Choice

Convert the polar coordinates to rectangular form

• (1, 1)

• (1, -1) 

• (-1, 0)

• (-1, -1)

Multiple Choice

Convert the rectangular coordinates to polar form

• (√2 , 7π/4)

• (2 , 3π/4)

• (4 , π/4)

• (4 , 5π/4)

Multiple Choice

Convert the rectangular equation to polar form. $$x^2+\left(y-2\right)^2=4$$

• $$r=4\sin\theta$$

• $$r=6\sin\theta$$

• $$r=-2\cos\theta+4\sin\theta$$

• $$r=-4\cos\theta-2\sin\theta$$

Multiple Choice

Convert the polar equation to rectangular form. $$r=4\cos\theta-2\sin\theta$$

• $$\left(x+2\right)^2+y^2=4$$

• $$\left(x-2\right)^2+\left(y-1\right)^2=5$$

• $$\left(x-2\right)^2+\left(y+1\right)^2=5$$

• $$\left(x-1\right)^2+y^2=1$$

Multiple Choice

What is the equation?

• r = 4

• r = 8

• r = 4sin(Θ)

• r = 8sin(Θ)

Multiple Choice

Which equation represents the polar graph?

• r = sin θ

• r = sin 4θ

• r = 4 sin θ

• r = 4 cos θ

Multiple Choice

Which conic section is represented by the polar equation

• Ellipse

• Hyperbola

• Parabola

• Circle

Multiple Choice

Which conic section is represented by the polar equation

• Ellipse

• Hyperbola

• Parabola

• Circle

Multiple Choice

Choose the correct equation.

• r = 3 + 2 cosθ
• r = 2 + 3 cosθ
• r = 2 + 2cosθ
• r = 3cosθ

Multiple Choice

The graph of r = 3 + 2sin(Θ) is a limacon. Identify the horizontal and vertical intercepts.

• Vertical intercepts: $$\left(3,\frac{\pi}{2}\right)\ and\ \left(-3,\frac{\pi}{2}\right)$$  

  
  Horizontal intercepts:  $$\left(2,0\right)\ and\ \left(6,0\right)$$  

• Vertical intercepts:  $$\left(-2,0\right)\ and\ \left(5,0\right)$$  

  
  Horizontal Intercepts:  $$\left(2,\frac{\pi}{2}\right)\ and\ \left(-2,\frac{\pi}{2}\right)$$  

• Vertical Intercepts:  $$\left(5,\frac{\pi}{2}\right)\ and\ \left(1,\frac{\pi}{2}\right)$$
  
  Horizontal Intercepts:  $$\left(3,0\right)\ and\ \left(-3,0\right)$$   

Multiple Choice

Which of the following could be the equation for...

• r = sin 4θ

• r = 6 sin 2θ

• r = 6 cos 2θ

• r = cos 4θ

Multiple Choice

Determine the polar equation of the given graph.

• r² = -9sin(2θ)
• r² = 9cos(2θ)
• r² = -9cos(2θ)
• r² = 9sin(2θ)

Good Luck

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