Please help! Show all steps. Will give medal and fan to best answer!

What is the graph of 4x^2+y^2=16? What are its lines of symmetry? What are the domain and range?

Question

Please help! Show all steps. Will give medal and fan to best answer!

What is the graph of 4x^2+y^2=16? What are its lines of symmetry? What are the domain and range?

anonymous · Answer

it's an ellipse, draw a diagram and you'll see everything

anonymous · Answer

I don't understand how to do that. @whpalmer4

rational · Answer

divide the whole equation by 4

anonymous · Answer

x^2+y^2=4?

rational · Answer

sorry divide the whole equation by 16, so that right hand side becomes 1 :

$\large   4x^2+y^2=16$

$\large   \frac{4x^2}{16}+\frac{y^2}{16}=1$

$\large   \frac{x^2}{4}+\frac{y^2}{16}=1$

$\large   \frac{x^2}{2^2}+\frac{y^2}{4^2}=1$

rational · Answer

thats a standard equation of ellipse centered at (0, 0)

rational · Answer

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