What is the area f(x)=8+2x^2 ?

The area f(x)=8+2x^2 is Unbounded

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area f(x)=8+2x^2

area

f (x) = 8 + 2 x^{2}

Unbounded

Solution steps

y = 8 + 2 x^{2}

Rewrite

y = 8 + 2 x^{2}

in the standard form:

4 \cdot \frac{1}{8} (y - 8) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 8), p = \frac{1}{8}

Parabola's area is always unbounded

Unbounded

y = x^{2} - 3

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

f (x) = x^{2} - x - 6

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

y^{2} + x - 4 y - 5 = 0