What type of conic section is given by the equation y^2-9x^2=900 and what is the domain and range? Show your work.

Domain : x ∈ Real Numbers

Range : y ≥ 30

Step-by-step explanation:

The given equation is:

Simplifying it

Where Standard equation of parabola is:

Which are similar. Conic Section is a parabola.

Simplify the given equation:

For whatever value of x, term under the square root always remains positive, so

Domain : x ∈ Real Numbers

For minimum value of x i.e 0, y=30. If we increase x, y also increases. So

Range : y ≥ 30

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