Question

The graph of the function f(x) = (x+6)(x+2) is shown.
Which statements describe the graph? Check all that
apply.
The vertex is the maximum value.
The axis of symmetry is x= -4.
The domain is all real numbers.
The function is increasing over (-0, -4).
The function is negative over (-6, -2).
Intro
Done

Answer 1

Answer: Is 2, 3 and 5

Step-by-step explanation:

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Answer 2

By analyzing the quadratic function, we can see that:

• 1) true
• 2) true
• 3) true
• 4) false
• 5) true.

Which statements are correct?

Here we have the quadratic function:

f(x) = (x + 6)*(x + 2)

Let's analyze each statement to see which ones are correct.

1) "The vertex is the maximum value."

True, the leading coefficient is positive, so the parabola opens up, meaning that the vertex is the minimum.

2) " The axis of symmetry is x= -4."

The two roots are x = -6 and x = -2, the axis of symmetry is right between these two values, so it is at x = -4, so this is true.

3) "The domain is all real numbers."

For all quadratic functions, this is true.

4) "The function is increasing over (-0, -4)"

(I don't know what -0 means, the segment (-0, -4) does not exist, so i will take this as false).

5) "The function is negative over (-6, -2)."

This is true, the two roots are at -6 and -2, so between these values the function must be negative.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/1214333