What is the area y=x^2[-1,1] ?

The area y=x^2[-1,1] is Unbounded

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area y=x^2[-1,1]

area

y = x^{2} [- 1, 1]

Unbounded

Solution steps

y = x^{2} [- 1, 1]

Rewrite

y = x^{2} [- 1, 1]

in the standard form:

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

Therefore parabola properties are:

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

Parabola's area is always unbounded

Unbounded

4 y - 2 y^{2}

(6 - x^{2}) + (x + 4)

y = x^{2} + 1 (- 2, 0)

x + 6 - x^{2}

x^{2} = 2 y + 4