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The correct statements regarding the behavior of a quadratic function are:
- The function in increasing for all real values of x where -6 < x < -2.
- The function is decreasing for all real values of x where x < -6 or x > -2.
<h3>When is a quadratic function increasing or decreasing?</h3>
A quadratic function with roots
and
is defined by:

In which a is the leading coefficient.
The coefficient influences the behavior, as follows:
- If a < 0, the function is increasing between the roots, and decreasing otherwise.
- If a > 0, the function is decreasing between the roots, and increasing otherwise.
In this problem, the function is:
f(x) = -(x + 6)(x + 2).
The roots are x = -6 and x = -2, and the leading coefficient is of a = -1 < 0, hence:
- The function in increasing for all real values of x where -6 < x < -2.
- The function is decreasing for all real values of x where x < -6 or x > -2.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
see explanation
Step-by-step explanation:
given
7x² + 14x - 56 ← factor out 7 from each term
= 7(x² + 2x - 8)
To factor the quadratic inside the parenthesis
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term (+ 2)
The factors are + 4 and - 2
since + 4 × - 2 = - 8 and + 4 - 2 = + 2
x² + 2x - 8) = (x + 4)(x - 2), and
7x² + 14x - 56 = 7(x + 4)(x - 2)
The 3 factors are B, G and J
Horizontal means the equation is y=something
(x,y)
(0,-2)
y=-2 is the equaiton
or
f(x)=-2