What is the area f(x)=x^2-x-2 ?

The area f(x)=x^2-x-2 is Unbounded

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area f(x)=x^2-x-2

area

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

Unbounded

Solution steps

y = x^{2} - x - 2

Rewrite

y = x^{2} - x - 2

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{9}{4})) = (x - \frac{1}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{2}, - \frac{9}{4}), p = \frac{1}{4}

Parabola's area is always unbounded

Unbounded

y^{2} + x - 4 y - 5 = 0

y^{2} - 4 x = 0

9 y = x^{2} + 81

Y (x) = - x^{2} + 1

- x^{2} + 5 x + 14