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

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

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

area

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

Unbounded

Solution steps

y = 2 - x^{2} + x

Rewrite

y = 2 - x^{2} + x

in the standard form

4 (- \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

x^{2} > y

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

x^{2} + 3 x - 5

- 0.1 x^{2} + 7

- 0.75 x^{2} + 3 x