What is the area 4y^2-6y+2x=0 ?

The area 4y^2-6y+2x=0 is Unbounded

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area 4y^2-6y+2x=0

area

4 y^{2} - 6 y + 2 x = 0

Unbounded

Solution steps

4 y^{2} - 6 y + 2 x = 0

Rewrite

4 y^{2} - 6 y + 2 x = 0

in the standard form

4 (- \frac{1}{8}) (x - \frac{9}{8}) = (y - \frac{3}{4})^{2}

Therefore parabola properties are:

(h, k) = (\frac{9}{8}, \frac{3}{4}), p = - \frac{1}{8}

Parabola's area is always unbounded

Unbounded

y = - x^{2} + 4 x

f (x) = - 5 - x^{2}

f (x) = \frac{x ^{2}}{3} - 4

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

- x^{2} + 8 x - 7