What is the area f(x)=-x^2+2x+4 ?

The area f(x)=-x^2+2x+4 is Unbounded

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area f(x)=-x^2+2x+4

area

f (x) = - x^{2} + 2 x + 4

Unbounded

Solution steps

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

Rewrite

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

in the standard form

4 (- \frac{1}{4}) (y - 5) = (x - 1)^{2}

Therefore parabola properties are:

(h, k) = (1, 5), p = - \frac{1}{4}

Parabola's area is always unbounded

Unbounded

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

y = x^{2} - 7 x + 6

- x^{2} + 5 x - 4

y^{2} + 5 y + 6

y = 3 x^{2} - 3 (- 2, 2)