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baherus [9]
4 years ago
13

What is the vortex of the graph of the quadratic function

%7B2%7D%20%20%2B%202x%20-%202" id="TexFormula1" title="f(x) = x {}^{2} + 2x - 2" alt="f(x) = x {}^{2} + 2x - 2" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Murrr4er [49]4 years ago
4 0

\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\stackrel{f(x)}{y}=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-2}
\qquad \qquad
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( -\cfrac{2}{2(1)}~~,~~-2-\cfrac{2^2}{4(1)} \right)\implies \left( -1~~,~~-2-1 \right)\implies (-1~,-3)

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