What is the area Y(x)=-x^2+1 ?

The area Y(x)=-x^2+1 is Unbounded

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area Y(x)=-x^2+1

area

Y (x) = - x^{2} + 1

Unbounded

Solution steps

y = - x^{2} + 1

Rewrite

y = - x^{2} + 1

in the standard form:

4 (- \frac{1}{4}) (y - 1) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 1), p = - \frac{1}{4}

Parabola's area is always unbounded

Unbounded

- x^{2} + 5 x + 14

x = 4 y - 2 y^{2}

3 x^{2} - y = 4

y^{2} = 2 x + 6

X^{2}