What is the area (3x+5)^2-(x+7)^2 ?

The area (3x+5)^2-(x+7)^2 is Unbounded

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area (3x+5)^2-(x+7)^2

area

(3 x + 5)^{2} - (x + 7)^{2}

Unbounded

Solution steps

y = (3 x + 5)^{2} - (x + 7)^{2}

Rewrite

y = (3 x + 5)^{2} - (x + 7)^{2}

in the standard form

4 \cdot \frac{1}{32} (y - (- 32)) = (x - (- 1))^{2}

Therefore parabola properties are:

(h, k) = (- 1, - 32), p = \frac{1}{32}

Parabola's area is always unbounded

Unbounded

- x^{2} + 2 x

- x^{2} - 3 x + 4

- y^{2} + 8 y

y = x^{2} - 2

y = 36 - x^{2}