9.4-9.5 Vector, Parametric, and Polar Review

Write the rectangular equation for the set of parametric equations.
 $x\ =\ \sqrt{t\ +\ 5}$  

 $y\ =2t\ +\ 4$  

•  $y\ =\ \ x^2-5$  

•  $y\ =\ 4t\ -\sqrt{x}$  

•  $y\ =\ \ 2t$  

•  $y\ =\ 2x^2\ -\ 6$  

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Find the rectangular coordinate for the polar coordinate

 $\left(3,\ -\frac{5\pi}{4}\right)$  

•  $\left(-\sqrt{2},\ \sqrt{2}\right)$  

•  $\left(-\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$  

•  $\left(-\frac{3\sqrt{2}}{2},\ \frac{3\sqrt{2}}{2}\right)$  

•  $\left(2,\ -\sqrt{3}\right)$  

What is the rectangular equation for the polar equation
 $r\ =\ 12\sin\theta$  

•  $x^2+9y^2=144$  

•  $x^2+\left(y-6\right)^2=36$  

•  $\left(x+6\right)^2+y^2=36$  

•  $x^2+\left(y-6\right)^2=144$  

 $x^2+y^2=16$  

•  $r=8\cos\theta$  

•  $r=16\sin\theta$  

•  $r=4$  

•  $r=16$  

Describe the graph: $\theta=-\frac{\pi}{3}$  

• Circle with radius 3

• Line with negative slope

• Rose curve 

• Lemniscate

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D