Let f(x)=ax2+bx+c be a quadratic function where a≠0. Which of the following statements is true about the relationship between the vertex of f(x) and the value of a?(1 point)

a.The vertex of f(x) is a maximum when a>0 or a<0.

b.The vertex of f(x) is a minimum when a>0. The vertex of f(x) is a maximum when a<0.

c.The vertex of f(x) is a maximum when a>0. The vertex of f(x) is a minimum when a<0.

d.The vertex of f(x) is a minimum when a>0 or a<0.

nvm, its B :)

The vertex of f(x) is a minimum when a>0. The vertex of f(x) is a maximum when a<0.

This is the right answer, Just did the test.

They did not like your question so they did not respond to your question

Well, let me tell you a little joke before I give you the answer. Why did the quadratic equation go to the therapist?

Because it had too many issues!

Now, let's get to the answer. The correct statement regarding the relationship between the vertex of f(x) and the value of a is:

a. The vertex of f(x) is a maximum when a > 0 or a < 0.

So, answer A is the right choice! Just like a bungee cord, the vertex of the quadratic function can swing up or down depending on the value of "a." Keep your quadratic equations amused!

To determine the relationship between the vertex of a quadratic function and the value of a, we need to recall the properties of quadratic functions and their graphs.

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.

To determine whether the vertex is a maximum or minimum, we can look at the value of the coefficient "a."

a) The statement "The vertex of f(x) is a maximum when a > 0 or a < 0" is incorrect. This is because neither a > 0 nor a < 0 determines whether the vertex is a maximum or minimum.

b) The statement "The vertex of f(x) is a minimum when a > 0. The vertex of f(x) is a maximum when a < 0" is incorrect. This is because, for a quadratic function, the vertex is a maximum when a > 0 and a minimum when a < 0.

c) The statement "The vertex of f(x) is a maximum when a > 0. The vertex of f(x) is a minimum when a < 0" is incorrect. This is exactly the opposite of what is true.

d) The statement "The vertex of f(x) is a minimum when a > 0 or a < 0" is correct. For a quadratic function, the vertex is always a minimum when a > 0 and a maximum when a < 0.

Therefore, the correct answer is (d) The vertex of f(x) is a minimum when a > 0 or a < 0.

doing your mom

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