Identify the type of conic section whose equation is given. x2 = 4y − 2y2
1 answer:
<h3>Answer:</h3>
ellipse
<h3>Explanation:</h3>Written in general form, the equation is ...
... x² +2y² -4y = 0
The coefficients of the squared terms are the same sign, and of different values, so the equation is of an ellipse.
These are the other possibilities that can be determined from the coefficients of the squared terms.
- Same sign, same value: circle.
- Opposite sign: hyperbola.
- Only one squared term: parabola.
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Of course, your handy graphing calculator can show you the graph, making it easy for you to determine the conic section that is described.
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