What is the area y=(1+x)(4-x) ?

The area y=(1+x)(4-x) is Unbounded

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area y=(1+x)(4-x)

area

y = (1 + x) (4 - x)

Unbounded

Solution steps

y = (1 + x) (4 - x)

Rewrite

y = (1 + x) (4 - x)

in the standard form

4 (- \frac{1}{4}) (y - \frac{25}{4}) = (x - \frac{3}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{3}{2}, \frac{25}{4}), p = - \frac{1}{4}

Parabola's area is always unbounded

Unbounded

f (x) = - x^{2} - 4

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

x = 35 y^{2}

y^{2} = 6 - x

1 + x^{2}