Question

Form quadratic functions using the following properties: f(2)=f(4)=0 and f(3) = -2

Answer 1

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Answer:

  f(x) = 2x^2 -12x +16

Step-by-step explanation:

The zeros tell you the factored form is ...

  f(x) = a(x -2)(x -4)

Then f(3) is ...

  f(3) = -2 = a(1)(-1) = -a

  a = 2

So the factored function is ...

  f(x) = 2(x -2)(x -4)

Expanded to standard form, we get ...

 f(x) = 2x^2 -12x +16