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

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

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

area

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

Unbounded

Solution steps

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

Rewrite

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

in the standard form

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

Therefore parabola properties are:

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

Parabola's area is always unbounded

Unbounded

2 y^{2}

- x^{2} - 7 x + 18

y = - x^{2} + 9

4 \frac{1}{4} x = v^{2}

6 x - x^{2}