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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: - 14.25
Domain: {all real numbers}
Range: {f(x)|f(x)≥ - 14.25}
Let's begin by rewriting our function in the general expression of a quadratic function, y=ax^2+bx+c. f(x) = x^2+3x-12⇔ f(x) = 1x^2 + 3x + (- 12) We can see that a = 1, b = 3, and c = - 12.
In the given function, we have a=1, which is greater than 0. Thus, the parabola will have a minimum value.
x= - 32
Calculate power
a(- b)=- a * b
a/b=a * 2/b * 2
a = 4* a/4
Add and subtract fractions
Add and subtract terms
Put minus sign in front of fraction
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 - 14.25, the range is all real numbers greater than or equal to - 14.25. Domain:& {All real numbers} Range:& {f(x)|f(x)≥ - 14.25}