Verified Answer :

PsychrolutesMarcidus

y= \(( x^{2} - 6x+9) +36\)
  = \(x^{2} - 6x+45\)

JeanaShupp

Answer: \(y=x^2-6x+45\)

Step-by-step explanation:

The equation of parabola in standard form is given by :-

\(y=ax^2+bx+c\)

Given : The  vertex form of the equation of a parabola is \(y = (x - 3)^2 + 36.\)

Using identity:

\((a-b)^2=a^2-2ab+b^2\)

The above equation can be written as :

\(y =x^2-2(3)x+(3)^2 +36\\\\\Rightarrow\ y=x^2-6x+9+36\\\\\Rightarrow\ y=x^2-6x+45\)

Hence, the standard form of the equation = \(y=x^2-6x+45\)

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