What is the area y=-x^2+12x-32 ?

The area y=-x^2+12x-32 is Unbounded

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area y=-x^2+12x-32

area

y = - x^{2} + 12 x - 32

Unbounded

Solution steps

y = - x^{2} + 12 x - 32

Rewrite

y = - x^{2} + 12 x - 32

in the standard form

4 (- \frac{1}{4}) (y - 4) = (x - 6)^{2}

Therefore parabola properties are:

(h, k) = (6, 4), p = - \frac{1}{4}

Parabola's area is always unbounded

Unbounded

[(2 - x^{2})]

y = x^{2} - 4 x + 3

(4 x + 7)^{2}

4 y^{2} - 6 y + 2 x = 0

y = - x^{2} + 4 x