How do you change #f(x) = (x-3)^2 + 17# into standard form?

2 Answers
Nghi N.
Jun 1, 2015

#f(x) = (x - 3)^2 + 17#

#Develop: f(x) = (x^2 - 6x + 9 ) + 17 = x^2 - 6x + 26#

Gagan Batra
Jun 1, 2015

#(a+b)^2=a^2+b^2+2ab# ,this is the prequist knowledge that u must know ..!!

  • Now by applying this identity u can open this eq:
    #(x-3)^2+17# in this way..
    #x^2+(3)^2+2(x)(3)+17#
  • now this can be simplified as:
    #x^2+9+6x+17#
  • which can be further simplified as:
    #x^2+6x+26#
    this is ur answer!!
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