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Identify a, b, and c in the given quadratic function. What does the value of a tell you about the function?
Minimum Value: 0
Domain: {all real numbers}
Range: {f(x)|f(x)≥ 0}
Let's begin by rewriting our function in the general expression of a quadratic function, y=ax^2+bx+c. f(x) = x^2-6x+9⇔ f(x) = 1x^2 + (- 6)x +9 We can see that a = 1, b = - 6, and c = 9.
In the given function, we have a=1, which is greater than 0. Thus, the parabola will have a minimum value.
x= 3
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Unless there is a specific restriction given in the context of the problem, the domain of a quadratic function is all real numbers. In this case, there is no restriction on the value of x. Since the minimum value of the function is , the range is all real numbers greater than or equal to . Domain:& {all real numbers} Range:& {f(x)|f(x)≥ 0}