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

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

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

area

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

Unbounded

Solution steps

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

Rewrite

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

in the standard form

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

Therefore parabola properties are:

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

Parabola's area is always unbounded

Unbounded

y = 2 - x^{2}

- x^{2} + 4 x

y = 6 x - x^{2}

y = x^{2} - 3 x

f (x) = x^{2} + 1