4x^2-x+3k(x)=0

解

4 x^{2} - x + 3 k (x) = 0

(h, k) = (\frac{1}{8}, \frac{1}{48}), p = - \frac{3}{16}

解答ステップ

4 x^{2} - x + 3 y = 0

4 x^{2} - x + 3 y = 0

を標準的な形式で書き換える

4 (- \frac{3}{16}) (y - \frac{1}{48}) = (x - \frac{1}{8})^{2}

ゆえに放物線の特性は:

(h, k) = (\frac{1}{8}, \frac{1}{48}), p = - \frac{3}{16}