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guapka [62]
3 years ago
14

Given the quadratic function : f(x)=x^24x-12 Find the vertex. Can you show the steps?!?

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad   c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)}  \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)
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