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vaieri [72.5K]
3 years ago
9

What’s the axis of symmetry for the quadratic equation y=3x^2+5x-2? Would really appreciate it if someone knew! :)

Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0

The y axis? As the graph is symmetrical on either side of it

Reptile [31]3 years ago
3 0

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{5}{2(3)}~~-2-\cfrac{5^2}{4(3)} \right)\implies \left(-\cfrac{5}{6}~~,~~-2-\cfrac{25}{12} \right)\implies \stackrel{\stackrel{axis~\hfill }{coordinate\qquad }}{\left(-\cfrac{5}{6}~~,~~-\cfrac{49}{12} \right)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{axis of symmetry}}{x=-\cfrac{5}{6}}~\hfill

let's notice, that the squared variable is the "x", and therefore this is a vertical parabola whose axis of symmetry is the vertical line equation of the x-coordinate of its vertex.

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