What is the area 1/2 x-3/2*2x^2-x ?

The area 1/2 x-3/2*2x^2-x is Unbounded

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area 1/2 x-3/2*2x^2-x

area

\frac{1}{2} x - \frac{3}{2} \cdot 2 x^{2} - x

Unbounded

Solution steps

y = \frac{1}{2} x - \frac{3}{2} \cdot 2 x^{2} - x

Rewrite

y = \frac{1}{2} x - \frac{3}{2} \cdot 2 x^{2} - x

in the standard form

4 (- \frac{1}{12}) (y - \frac{1}{48}) = (x - (- \frac{1}{12}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{12}, \frac{1}{48}), p = - \frac{1}{12}

Parabola's area is always unbounded

Unbounded

f (x) = 7 - 2 x^{2}

y = 6 x - 2 x^{2}

y = x^{2} [- 1, 1]

4 y - 2 y^{2}

(6 - x^{2}) + (x + 4)