What is the area 2x^2-x^2+1 ?

The area 2x^2-x^2+1 is Unbounded

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area 2x^2-x^2+1

area

2 x^{2} - x^{2} + 1

Unbounded

Solution steps

y = 2 x^{2} - x^{2} + 1

Rewrite

y = 2 x^{2} - x^{2} + 1

in the standard form:

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

Therefore parabola properties are:

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

Parabola's area is always unbounded

Unbounded

y = 25 - x^{2}

y = x^{2} - 9

y = 8 x^{2} - 2

f (x) = 25 - x^{2}

y = 3 x - x^{2}