bewellplus.gsu.edu
paolagarcia1997 paolagarcia1997
  • 21-05-2016
  • Mathematics
Answered

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 21-05-2016

expand
y=3(x^2-4x+4)-(x^2-10x+25)
y=3x^2-12x+12-x^2+10x-25
y=3x^2-x^2-12x+10x+12-25
y=2x^2-2x-13
complete the square

y=2(x^2-x)-13
y=2(x^2-x+1/4-1/4)-13
y=2((x-1/2)^2-1/4)-13
y=2(x-1/2)^2-1/2-13
y=2(y-0.5)^2-13.5

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ItsExpert
ItsExpert ItsExpert
  • 05-07-2019

Answer: D

y=2(x-1/2)^2 - 27/2

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