contestada

The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?
(−4, 152)
(4, −40)
(−3, 107)
(3, −37)

Respuesta :

[tex] \bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8}
\qquad \qquad
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)} \right)\implies (4~~,~~8-48)\implies (4~~,~-40) [/tex]

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