STEP 1: Identify and Set-Up
We are given the equation of the parabola in the polynomial. However, there exists a vertex form through which we can obtain the coordinates of our vertex. The solution of the quadratic equation gives us the x intercepts.
The general equation of a parabola in vertex form is:
where the coordinates of the vertex is (h, k).
STEP 2: Execute
We will now resolve the polynomial and solve it.
Therefore, our vertex is at (1, -4)
Solving our equation,
The x intercepts are x = -1 and x = 3
These points are depicted in the graph as seen above.