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Prevedenie funkcie na vrcholový tvar
Preveď všobecný tvar funkcií na vrcholový:
\( \normalsize y=3x^2+6x-1 \)
\( y = 3(x + \frac{6}{2\ \cdot\ 3})^{2} + (−1− \frac{6^{2}}{4\ \cdot\ 3}) \)
\( y = 3(x + 1)^{2} − 1 − 2 \)
\( \normalsize y=3\left(x+1\right)^2-3 \)
\( y = 3(x + \frac{6}{2\ \cdot\ 3})^{2} + (−1− \frac{6^{2}}{4\ \cdot\ 3}) \)
\( y = 3(x + 1)^{2} − 1 − 6 \)
\( \normalsize y=3\left(x+1\right)^2-7 \)
\( y = 3(x + \frac{6}{2\ \cdot\ 3})^{2} + (−1− \frac{6^{2}}{4\ \cdot\ 3}) \)
\( y = 3(x + 1)^{2} − 1 −3 \)
\( \normalsize y=3\left(x+1\right)^2-4 \)
\( y = 3(x + \frac{6}{2\ \cdot\ 3})^{2} + (−1− \frac{6^{2}}{4\ \cdot\ 3}) \)
\( y = 3(x + 1)^{2} − 1 + 3 \)
\( \normalsize y=3\left(x+1\right)^2+2 \)