Question

Please, I just need 5 points. its on a timer. the vertex, 2 to the left of the vertex, 2 to the right of the vertex.

Answer 1

We will have the following:

First, we determine the x-component of the vertex, that is:

First, we must expand the expression:

$y=x^2+4x+4+3\Rightarrow y=x^2+4x+7$

Then:

$x=-\frac{(4)}{2(1)}\Rightarrow x=-2$

Now, we determine 2 points to the right of the vertex:

$\begin{cases}(-1,4) \\ \\ (0,7)\end{cases}$

Now, we determine 2 points to the left of the vertex:

$\begin{cases}(-3,4) \\ \\ (-4,7)\end{cases}$

Vertex is located at (-2, 3)