Answer: The correct statements are ,
The domain is all real numbers.
The function is negative over (–6, –2).
The axis of symmetry is x = –4. .
Given that,
Function f(x) = (x + 6)(x + 2) .
We have to find,
The vertex, axis of symmetry, domain for the given function f(x).
The vertex represents the lowest point on the graph or the minimum value of the quadratic function.
Which is x = -6 for the function f(x).
So, The vertex is the minimum value x = -6.
The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric.
Axis of symmetry =
So, f(x) = (x + 6)(x + 2) =
Then, Axis of symmetry = = -4.
The domain of a quadratic function f(x) is the set of x -values for which the function is defined.
The domain for f(x) = (x + 6)(x + 2) is -6 and -2 which are all real number.
A function is called monotonically increasing (also increasing or non-decreasing).
The function is increasing over (–∞, –6) for function f(x) = (x + 6)(x + 2) .
The y-value decreases as the x-value increases: For a function y = f(x): when < then, The function is negative over (–6, –2).
For more information about Quadratic equation click the link given below.
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Step-by-step explanation:
