gl5orAlexangabyg
gl5orAlexangabyg gl5orAlexangabyg
  • 17-08-2016
  • Mathematics
contestada

given the function y=-3(x-1)^2 -4, how do i find the range?

Respuesta :

dalendrk
dalendrk dalendrk
  • 19-08-2016
[tex]The vertex form:\ y=a(x-p)^2+q\ where\ (p;\ q)-coordinates\ of\ the\ vertex[/tex]

The range of function [tex]y=ax^2+bx+c[/tex]

if a > 0 then the range R = [q; ∞)
if a < 0 then the range R = (-∞; q]

We have: [tex]y=-3(x-1)^2-4\\\\a=-3 < 0\ and\ q=-4[/tex]

therefore the range [tex]R=(-\infty;-4][/tex]
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