# How do you graph #r=-8cos2theta#?

See 8-like graph and details.

Use

0 <= r = sqrt ( x^2 + y^2 ) and ( x, y ) = r ( cos theta, sin theta )# d

convert to

The Socratic 8-like graph is immediate. graph{ ( x^2 + y^2 )^ 1.5 + 8 (x^2 - y^2 ) = 0[ -18 18 -9 9 ]}

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To graph the polar equation ( r = -8\cos(2\theta) ), follow these steps:

- Plot points for various values of ( \theta ).
- Substitute each value of ( \theta ) into the equation to find the corresponding value of ( r ).
- Use the polar coordinate system, where ( r ) represents the distance from the origin and ( \theta ) represents the angle from the positive x-axis.
- Plot each point with its corresponding ( r ) value at the angle ( \theta ).
- Connect the plotted points to form the graph of the equation.

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