Set the polynomial equal to to find the properties of the parabola.
Complete the square for .
Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Find the value of using the formula .
Simplify each term.
One to any power is one.
Multiply by .
Combine the numerators over the common denominator.
Subtract from .
Divide by .
Substitute the values of , , and into the vertex form .
Set equal to the new right side.
Find the Vertex Form f(x)=x^2+x+5/4