What is the area [(2-x^2)-(x)^2] ?

The area [(2-x^2)-(x)^2] is Unbounded

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area [(2-x^2)-(x)^2]

area

[(2 - x^{2}) - (x)^{2}]

Unbounded

Solution steps

y = [2 - x^{2} - x^{2}]

Rewrite

y = [2 - x^{2} - x^{2}]

in the standard form

4 (- \frac{1}{8}) (y - 2) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 2), p = - \frac{1}{8}

Parabola's area is always unbounded

Unbounded

f (x) = x^{2} - 2 x + 2

\frac{x ^{2}}{4}

f (x) = - 3 x^{2} + 15 x

45 c m^{2}

- x^{2}