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

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

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area f(x)=(2x+1)^2

area

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

Unbounded

Solution steps

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

Rewrite

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

in the standard form:

4 \cdot \frac{1}{16} (y - 0) = (x - (- \frac{1}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{2}, 0), p = \frac{1}{16}

Parabola's area is always unbounded

Unbounded

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

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

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

y^{2} - 4 x = 0

9 y = x^{2} + 81