The quadratic function given to us is:
We are asked to find the vertex form of the function.
The general formula for the vertex form of a quadratic equation is:
In order to write the function in its vertex form, we need to perform a couple of operations on the function.
1. Add and subtract the square of the half of the coefficient of x to the function.
2. Factor out the function with its repeated roots and re-write the equation.
Now, let us solve.
1. Add and subtract the square of the half of the coefficient of x to the function.
2. Factor out the function with its repeated roots and re-write the equation.
Therefore, we can conclude that the Equation and vertex of the equation is:
