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[Solved] Functions

 
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Last Post by Staff 4 years ago
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June 15, 2021 10:47 am
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Staff 
(@armor)
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f(x)=ax^2+bx+c

f(2)=f(-1)=0

f(3)=8\Rightarrow f(x)=?

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June 15, 2021 10:47 am
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

\small f(x)=a(x-x_{1})(x-x_{2})

\small f(x)=a.(x-2)(x+1)

\small f(x)=a.(x^2-x-2)

\small f(3)=8\Rightarrow a(3^2-3-2)=8\Rightarrow 4a=8\Rightarrow a=2

\small \Rightarrow f(x)=2.(x^2-x-2)=2x^2-2x-4.

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