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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: - 9.375
Domain: {all real numbers}
Range: {f(x)|f(x)≥ - 9.375}
Let's begin by rewriting our function in the general expression of a quadratic function, f(x)=ax^2+bx+c. f(x) = - 9+3x+6x^2⇔ f(x) = 6x^2 +3x +(- 9) We can see that a = 6, b = 3, and c = - 9.
In the given function, we have a=6, which is greater than 0. Thus, the parabola will have a minimum value.
x= - 1/4
Calculate power
a* 1/b= a/b
a/b=.a /2./.b /2.
a/b=a * 2/b * 2
a = 8* a/8
Add and subtract fractions
a/b=aĂ· b
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 - 9.375, the range is all real numbers greater than or equal to - 9.375. Domain:& {all real numbers} Range:& {f(x)|f(x)≥ - 9.375}