What is the area f(x)=12x-3x^2 ?

The area f(x)=12x-3x^2 is Unbounded

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area f(x)=12x-3x^2

area

f (x) = 12 x - 3 x^{2}

Unbounded

Solution steps

y = 12 x - 3 x^{2}

Rewrite

y = 12 x - 3 x^{2}

in the standard form

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

Therefore parabola properties are:

(h, k) = (2, 12), p = - \frac{1}{12}

Parabola's area is always unbounded

Unbounded

- 2 x^{2} + 3 x

[(X)^{2}]

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

x - 2 - x^{2} + 7 x - 10

x = - y^{2} + 3