gKateycharigi gKateycharigi

11-11-2016
Mathematics

contestada

write y=-3x^2+12x-21 in vertex form
A)y=-3(x-2)^2-9
B)y=-3(x+2)^2-9
C)y=-3(x+2)^2+9
D)y=-3(x-2)^2+9

Respuesta :

TheMoonWalker TheMoonWalker

12-11-2016

Complete the square:
y = 3x^2 - 12x + 4
y = 3(x^2 - 4x) + 4
y = 3(x^2 - 4x + 4 - 4) + 4
y = 3(x^2 - 4x + 4) - 12 + 4
y = 3(x - 2)^2 - 8

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syed514 syed514

16-11-2016

The vertex form of any function is : f(x) = a(x-h)^2 + k
Hence the correct option would be: A): "-3(x-2)^2-9"

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