Set the polynomial equal to to find the properties of the parabola.

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