What is the area f(x)=x^2(0,1) ?

The area f(x)=x^2(0,1) is Unbounded

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area f(x)=x^2(0,1)

area

f (x) = x^{2} (0, 1)

Unbounded

Solution steps

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

Rewrite

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

in the standard form:

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

Therefore parabola properties are:

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

Parabola's area is always unbounded

Unbounded

y = - x^{2} + 8 x - 7

- x^{2} + 2 x + 24

x = \frac{y ^{2}}{4}

2 x^{2} - 4 x - 30

y^{2} = 4 a x