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

Lösung

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

(h, k) = (- \frac{1}{3}, \frac{10}{3}), p = - \frac{1}{12}

Schritte zur Lösung

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

Rewrite

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

in the standard form

4 (- \frac{1}{12}) (y - \frac{10}{3}) = (x - (- \frac{1}{3}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{3}, \frac{10}{3}), p = - \frac{1}{12}

y^{2} - 4 y - 8 x + 20 = 0

y^{2} - 4 x - 6 y = - 1

x^{2} - 4 x - 4 y - 8 = 0

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

y = x^{2} + 18 x + 42