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

1 answer
Question:

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

Answers

Answer:   f(x) = 3x^2 -21x +36Step-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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