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Art [367]
3 years ago
14

The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p

olynomial in standard form.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

  f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

  f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

  f(x) = 3(x^2 -7x +12)

  f(x) = 3x^2 -21x +36

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