How do you identify the following equation #3y^2 - x = 0# as that of a line, a circle, an ellipse, a parabola, or a hyperbola.?

Answer 1

It's a parabola

If you write the equation as #x=3y^2#, you can see that you are in the form #f(y)=3y^2#. This is a quadratic polynomial in #y#, which means that it represents a parabola with axis parallel to the #x# axis.
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Answer 2

The equation 3y^2 - x = 0 represents a parabola.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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