-f(x)=4x^2+3x-2

Lösung

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

(h, k) = (- \frac{3}{8}, \frac{41}{16}), p = - \frac{1}{16}

Schritte zur Lösung

- y = 4 x^{2} + 3 x - 2

Rewrite

- y = 4 x^{2} + 3 x - 2

in the standard form

4 (- \frac{1}{16}) (y - \frac{41}{16}) = (x - (- \frac{3}{8}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{8}, \frac{41}{16}), p = - \frac{1}{16}

(y - 1)^{2} = - 4 x

15 x^{2} = - 6 y

2 y^{2} + 20 x + 12 y - 1 = 0

x = y^{2} - 3 y

- 4 y^{2} - 12 y + 1 = 3 x - 5