Question

The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?

The vertex is a maximum.
The y-intercept is negative.
The x-intercepts are negative.
The axis of symmetry is to the left of zero.

Answer 1

Answer:

The axis of symmetry is to the left of zero." The a value of a function in the form f(x) = ax2 + bx + c is negative. The statement must be true is this The axis of symmetry is to the left of zero....

Answer 2

Answer:

Given is a standard quadratic equation of the form:

f (x) = ax ^ 2 + bx + cf(x)=ax^2 +bx+c

As the function is negative then the following is true:

Therefore, when the leading coefficient is less than one then:

1) The parable opens down.

2) The cutting points with the x axis can be positive or negative

3) The cutoff point with the y axis can be positive or negative

4) The axis of symmetry can be to the right or to the left of zero.

5) The vertex of the parabola is a maximum and this is because the second derivative is negative.

So the answer is

The vertex is a maximum.