3. Which of the following describes the parabola with the equation y = -x2 – 3x + 6?
A. The axis of symmetry is x = -1.5 and the vertex is (-1.5, 8.25).
B. The axis of symmetry is x = -1 and the vertex is (-1, -3).
C. The axis of symmetry is x = 0 and the vertex is (0, 6).
D. The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

Hello Papi :D

I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.

First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:

Then, it remains:

Then: the coefficient of the variable We divided it between , And we square it (they will be one positive and one negative). In our case:

Let's accommodate terms to make it easier:

Can be written as :

Now, what is underlined is our perfect square trinomial, let us recall its form:

Applying the same principle we are left:

Applying distributive property we get:

Therefore it will have its vertex in:

The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in of the vertex.

For which the axis of symmetry is .

I love you so much !

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (