What is the area-x^{(2)}+2x+2 ?

The area-x^{(2)}+2x+2 is Unbounded

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area-x^{(2)}+2x+2

area

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

Unbounded

Solution steps

y = - x^{2} + 2 x + 2

Rewrite

y = - x^{2} + 2 x + 2

in the standard form

4 (- \frac{1}{4}) (y - 3) = (x - 1)^{2}

Therefore parabola properties are:

(h, k) = (1, 3), p = - \frac{1}{4}

Parabola's area is always unbounded

Unbounded

y = x^{2} - x - 2

y = - x (x - 2)

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

x^{2} > y

\frac{1}{2} (6 x) (4 x - 3)