Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

r = 4 \sin 3 \theta

A)Symmetric with respect to

\theta = \frac { \pi } { 2 }

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\end{array}

$Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. r = 4 \sin 3 \theta A)Symmetric with respect to \theta = \frac { \pi } { 2 } \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } \end{array} B)Symmetric with respect to \theta = \frac { \pi } { 2 } \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } \end{array} C)Symmetric with respect to \theta = \frac { \pi } { 2 } \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } \end{array} D)Symmetric with respect to \theta = \frac { \pi } { 2 } \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } \end{array} E)Symmetric with respect to \theta = \frac { \pi } { 2 } \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } \end{array}$
B)Symmetric with respect to

\theta = \frac { \pi } { 2 }

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\end{array}

\theta = \frac { \pi } { 2 }

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\end{array}

\theta = \frac { \pi } { 2 }

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\end{array}

\theta = \frac { \pi } { 2 }

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\end{array}

Use the Discriminant to Classify the Graph 36x2−144xy+y2−10x+5y=036 x ^ { 2 } - 144 x y + y ^ { 2 } - 10 x + 5 y = 036x2−144xy+y2−10x+5y=0

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Use the Discriminant to Classify the Graph $36 x ^ { 2 } - 144 x y + y ^ { 2 } - 10 x + 5 y = 0$

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