2f(x)=3x^2-x+3

Lösung

2 f (x) = 3 x^{2} - x + 3

(h, k) = (\frac{1}{6}, \frac{35}{24}), p = \frac{1}{6}

Schritte zur Lösung

2 y = 3 x^{2} - x + 3

Rewrite

2 y = 3 x^{2} - x + 3

in the standard form

4 \cdot \frac{1}{6} (y - \frac{35}{24}) = (x - \frac{1}{6})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{6}, \frac{35}{24}), p = \frac{1}{6}

x = - 5 (y - 6)^{2}

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

x^{2} = 4 - 2 y

x^{2} + 3 y = 9

(y - 4)^{2} = 20 (x - 7)