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Answer :

Answer:

[tex]\huge\boxed{\boxed{ \sf 0. {4x}^{2} - 3.2x + 5.7}}[/tex]

Step-by-step explanation:

to understand this

you need to know about

  • quadratic equations
  • PEMDAS

tips and formulas:

  • standard form:ax²+bx+c
  • we have to simplify it to get the standard form

given:

  • f(x)=0.4(x-4)²-0.7

let's solve:

  1. [tex] \sf simplify \: squre : \\ 0.4( {x}^{2} - 8x + 16) - 0.7[/tex]
  2. [tex] \sf distribute \: 0.4 : \\ 0.4 { x }^{2} - 3.2x + 6.4 - 0.7[/tex]
  3. [tex] \sf \: substrack \\ 0. {4x}^{2} - 3.2x + 5.7[/tex]

and

we are done

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