(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use a graphing utility to graph the conic. Determine the angle through which the axis are rotated.

[tex]x^2+xy+y^2=10[/tex]

2. Relevant equations

[tex]\cot2\theta=\frac{A-C}{B}[/tex]

[tex]x=x'\cos\theta-y'\sin\theta[/tex]

[tex]y=x'\sin\theta+y'\cos\theta[/tex]

3. The attempt at a solution

I can find the angle of rotation to be 45 degrees and I know the equation in terms of x' y' is.

[tex]\frac{(x')^2}{\frac{20}{3}}+\frac{(y')^2}{20}=1[/tex]

However I don't know how to graph the rotated function. My graphing calculator can not graph implicit functions. I can get function in terms of x',y' in terms of y' and graph that, but that wont be on an x',y' axis on my calculator, only an x,y axis. How can I graph the rotated function on a calculator?

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# Homework Help: Graphing a Rotated Conic on a Graphing Calculator

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