(p(x))/(3x-2(x+2)+5(x+3))=3(x+4)

解

\frac{p ( x )}{3 x - 2 ( x + 2 ) + 5 ( x + 3 )} = 3 (x + 4)

(h, k) = (- \frac{35}{12}, - \frac{169}{8}), p = \frac{1}{72}

解答ステップ

\frac{y}{3 x - 2 ( x + 2 ) + 5 ( x + 3 )} = 3 (x + 4)

\frac{y}{3 x - 2 ( x + 2 ) + 5 ( x + 3 )} - 3 (x + 4) = 0

を標準的な形式で書き換える

4 \cdot \frac{1}{72} (y - (- \frac{169}{8})) = (x - (- \frac{35}{12}))^{2}

ゆえに放物線の特性は:

(h, k) = (- \frac{35}{12}, - \frac{169}{8}), p = \frac{1}{72}