We want to identify the and the of the graph of given . Note that the function is already expressed in where and are either positive or negative numbers.
It is important to note that we do not need to graph the to identify the desired information. Let's compare the general formula for the vertex form with our equation.
We can see that and
The vertex of a quadratic function written in vertex form is the point For this exercise, we have and Therefore, the vertex of the given equation is
Axis of Symmetry
The axis of symmetry of a quadratic function written in vertex form is the with equation As we have already noticed, for our function, this is Thus, the axis of symmetry is the line