What is the area ((x-2)^2)/9-1 ?

The area ((x-2)^2)/9-1 is Unbounded

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area ((x-2)^2)/9-1

area

\frac{( x - 2 ) ^{2}}{9} - 1

Unbounded

Solution steps

y = \frac{( x - 2 ) ^{2}}{9} - 1

Rewrite

y = \frac{( x - 2 ) ^{2}}{9} - 1

in the standard form:

4 \cdot \frac{9}{4} (y - (- 1)) = (x - 2)^{2}

Therefore parabola properties are:

(h, k) = (2, - 1), p = \frac{9}{4}

Parabola's area is always unbounded

Unbounded

f (x) = x^{2} + 3 x + 2

57 - x^{2}

y = 3 - x^{2}

x = 1 - y^{2}

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